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Finding the Third Proportional to 15,045.75 and 23,284.31

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Solution

The third proportional to 15,045.75 and 23,284.31 is: 36,034.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,045.75 : 23,284.31 = 23,284.31 : x
  2. Step 2: Convert to fraction form
    15,045.75/23,284.31 = 23,284.31/x
  3. Step 3: Cross multiply
    15,045.75x = 23,284.31 × 23,284.31
  4. Step 4: Simplify right side
    15,045.75x = 542,159,208.60
  5. Step 5: Solve for x
    x = 542,159,208.60/15,045.75
  6. Step 6: Final answer
    x = 36,034.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.