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Finding the Third Proportional to 23,478.19 and 48,036.38

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Solution

The third proportional to 23,478.19 and 48,036.38 is: 98,282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,478.19 : 48,036.38 = 48,036.38 : x
  2. Step 2: Convert to fraction form
    23,478.19/48,036.38 = 48,036.38/x
  3. Step 3: Cross multiply
    23,478.19x = 48,036.38 × 48,036.38
  4. Step 4: Simplify right side
    23,478.19x = 2,307,493,323.14
  5. Step 5: Solve for x
    x = 2,307,493,323.14/23,478.19
  6. Step 6: Final answer
    x = 98,282.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.