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Finding the Third Proportional to 10,071.84 and 10,948.92

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Solution

The third proportional to 10,071.84 and 10,948.92 is: 11,902.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.84 : 10,948.92 = 10,948.92 : x
  2. Step 2: Convert to fraction form
    10,071.84/10,948.92 = 10,948.92/x
  3. Step 3: Cross multiply
    10,071.84x = 10,948.92 × 10,948.92
  4. Step 4: Simplify right side
    10,071.84x = 119,878,890.22
  5. Step 5: Solve for x
    x = 119,878,890.22/10,071.84
  6. Step 6: Final answer
    x = 11,902.38

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.