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Finding the Third Proportional to 23,478 and 48,888

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Solution

The third proportional to 23,478 and 48,888 is: 101,798.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,478 : 48,888 = 48,888 : x
  2. Step 2: Convert to fraction form
    23,478/48,888 = 48,888/x
  3. Step 3: Cross multiply
    23,478x = 48,888 × 48,888
  4. Step 4: Simplify right side
    23,478x = 2,390,036,544
  5. Step 5: Solve for x
    x = 2,390,036,544/23,478
  6. Step 6: Final answer
    x = 101,798.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.