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Finding the Third Proportional to 13,539.66 and 22,420.55

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Solution

The third proportional to 13,539.66 and 22,420.55 is: 37,126.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539.66 : 22,420.55 = 22,420.55 : x
  2. Step 2: Convert to fraction form
    13,539.66/22,420.55 = 22,420.55/x
  3. Step 3: Cross multiply
    13,539.66x = 22,420.55 × 22,420.55
  4. Step 4: Simplify right side
    13,539.66x = 502,680,922.17
  5. Step 5: Solve for x
    x = 502,680,922.17/13,539.66
  6. Step 6: Final answer
    x = 37,126.56

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.