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Finding the Third Proportional to 13,735 and 29,988

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Solution

The third proportional to 13,735 and 29,988 is: 65,473.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735 : 29,988 = 29,988 : x
  2. Step 2: Convert to fraction form
    13,735/29,988 = 29,988/x
  3. Step 3: Cross multiply
    13,735x = 29,988 × 29,988
  4. Step 4: Simplify right side
    13,735x = 899,280,144
  5. Step 5: Solve for x
    x = 899,280,144/13,735
  6. Step 6: Final answer
    x = 65,473.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.