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Finding the Third Proportional to 13,566.75 and 29,080.13

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Solution

The third proportional to 13,566.75 and 29,080.13 is: 62,332.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,566.75 : 29,080.13 = 29,080.13 : x
  2. Step 2: Convert to fraction form
    13,566.75/29,080.13 = 29,080.13/x
  3. Step 3: Cross multiply
    13,566.75x = 29,080.13 × 29,080.13
  4. Step 4: Simplify right side
    13,566.75x = 845,653,670.02
  5. Step 5: Solve for x
    x = 845,653,670.02/13,566.75
  6. Step 6: Final answer
    x = 62,332.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.