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Finding the Third Proportional to 13,615.59 and 29,382.12

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Solution

The third proportional to 13,615.59 and 29,382.12 is: 63,405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.59 : 29,382.12 = 29,382.12 : x
  2. Step 2: Convert to fraction form
    13,615.59/29,382.12 = 29,382.12/x
  3. Step 3: Cross multiply
    13,615.59x = 29,382.12 × 29,382.12
  4. Step 4: Simplify right side
    13,615.59x = 863,308,810.42
  5. Step 5: Solve for x
    x = 863,308,810.42/13,615.59
  6. Step 6: Final answer
    x = 63,405.89

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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.