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Finding the Third Proportional to 14,517.56 and 15,543.56

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Solution

The third proportional to 14,517.56 and 15,543.56 is: 16,642.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.56 : 15,543.56 = 15,543.56 : x
  2. Step 2: Convert to fraction form
    14,517.56/15,543.56 = 15,543.56/x
  3. Step 3: Cross multiply
    14,517.56x = 15,543.56 × 15,543.56
  4. Step 4: Simplify right side
    14,517.56x = 241,602,335.19
  5. Step 5: Solve for x
    x = 241,602,335.19/14,517.56
  6. Step 6: Final answer
    x = 16,642.07

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.