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Finding the Third Proportional to 6,716 and 9,877

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Solution

The third proportional to 6,716 and 9,877 is: 14,525.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716 : 9,877 = 9,877 : x
  2. Step 2: Convert to fraction form
    6,716/9,877 = 9,877/x
  3. Step 3: Cross multiply
    6,716x = 9,877 × 9,877
  4. Step 4: Simplify right side
    6,716x = 97,555,129
  5. Step 5: Solve for x
    x = 97,555,129/6,716
  6. Step 6: Final answer
    x = 14,525.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.