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Finding the Third Proportional to 29,842 and 64,504

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Solution

The third proportional to 29,842 and 64,504 is: 139,426.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,842 : 64,504 = 64,504 : x
  2. Step 2: Convert to fraction form
    29,842/64,504 = 64,504/x
  3. Step 3: Cross multiply
    29,842x = 64,504 × 64,504
  4. Step 4: Simplify right side
    29,842x = 4,160,766,016
  5. Step 5: Solve for x
    x = 4,160,766,016/29,842
  6. Step 6: Final answer
    x = 139,426.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.