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Finding the Third Proportional to 13,507.34 and 21,702.61

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Solution

The third proportional to 13,507.34 and 21,702.61 is: 34,870.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.34 : 21,702.61 = 21,702.61 : x
  2. Step 2: Convert to fraction form
    13,507.34/21,702.61 = 21,702.61/x
  3. Step 3: Cross multiply
    13,507.34x = 21,702.61 × 21,702.61
  4. Step 4: Simplify right side
    13,507.34x = 471,003,253.68
  5. Step 5: Solve for x
    x = 471,003,253.68/13,507.34
  6. Step 6: Final answer
    x = 34,870.18

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.