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Finding the Third Proportional to 15,659.26 and 29,729.53

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Solution

The third proportional to 15,659.26 and 29,729.53 is: 56,442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,659.26 : 29,729.53 = 29,729.53 : x
  2. Step 2: Convert to fraction form
    15,659.26/29,729.53 = 29,729.53/x
  3. Step 3: Cross multiply
    15,659.26x = 29,729.53 × 29,729.53
  4. Step 4: Simplify right side
    15,659.26x = 883,845,028.34
  5. Step 5: Solve for x
    x = 883,845,028.34/15,659.26
  6. Step 6: Final answer
    x = 56,442.32

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.