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Finding the Third Proportional to 6,562.69 and 9,877.78

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Solution

The third proportional to 6,562.69 and 9,877.78 is: 14,867.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.69 : 9,877.78 = 9,877.78 : x
  2. Step 2: Convert to fraction form
    6,562.69/9,877.78 = 9,877.78/x
  3. Step 3: Cross multiply
    6,562.69x = 9,877.78 × 9,877.78
  4. Step 4: Simplify right side
    6,562.69x = 97,570,562.42
  5. Step 5: Solve for x
    x = 97,570,562.42/6,562.69
  6. Step 6: Final answer
    x = 14,867.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.