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Finding the Third Proportional to 6,715.41 and 9,876.94

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Solution

The third proportional to 6,715.41 and 9,876.94 is: 14,526.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.41 : 9,876.94 = 9,876.94 : x
  2. Step 2: Convert to fraction form
    6,715.41/9,876.94 = 9,876.94/x
  3. Step 3: Cross multiply
    6,715.41x = 9,876.94 × 9,876.94
  4. Step 4: Simplify right side
    6,715.41x = 97,553,894.38
  5. Step 5: Solve for x
    x = 97,553,894.38/6,715.41
  6. Step 6: Final answer
    x = 14,526.88

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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.