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Finding the Third Proportional to 29,352 and 39,128

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Solution

The third proportional to 29,352 and 39,128 is: 52,160.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,352 : 39,128 = 39,128 : x
  2. Step 2: Convert to fraction form
    29,352/39,128 = 39,128/x
  3. Step 3: Cross multiply
    29,352x = 39,128 × 39,128
  4. Step 4: Simplify right side
    29,352x = 1,531,000,384
  5. Step 5: Solve for x
    x = 1,531,000,384/29,352
  6. Step 6: Final answer
    x = 52,160.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.