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Finding the Third Proportional to 13,703 and 29,588

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Solution

The third proportional to 13,703 and 29,588 is: 63,887.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703 : 29,588 = 29,588 : x
  2. Step 2: Convert to fraction form
    13,703/29,588 = 29,588/x
  3. Step 3: Cross multiply
    13,703x = 29,588 × 29,588
  4. Step 4: Simplify right side
    13,703x = 875,449,744
  5. Step 5: Solve for x
    x = 875,449,744/13,703
  6. Step 6: Final answer
    x = 63,887.45

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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.