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Finding the Third Proportional to 13,681.34 and 29,957.59

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Solution

The third proportional to 13,681.34 and 29,957.59 is: 65,597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.34 : 29,957.59 = 29,957.59 : x
  2. Step 2: Convert to fraction form
    13,681.34/29,957.59 = 29,957.59/x
  3. Step 3: Cross multiply
    13,681.34x = 29,957.59 × 29,957.59
  4. Step 4: Simplify right side
    13,681.34x = 897,457,423.29
  5. Step 5: Solve for x
    x = 897,457,423.29/13,681.34
  6. Step 6: Final answer
    x = 65,597.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.