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Finding the Third Proportional to 29,536 and 39,788

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Solution

The third proportional to 29,536 and 39,788 is: 53,598.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,536 : 39,788 = 39,788 : x
  2. Step 2: Convert to fraction form
    29,536/39,788 = 39,788/x
  3. Step 3: Cross multiply
    29,536x = 39,788 × 39,788
  4. Step 4: Simplify right side
    29,536x = 1,583,084,944
  5. Step 5: Solve for x
    x = 1,583,084,944/29,536
  6. Step 6: Final answer
    x = 53,598.49

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.