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Finding the Third Proportional to 10,306.88 and 22,071.38

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Solution

The third proportional to 10,306.88 and 22,071.38 is: 47,264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.88 : 22,071.38 = 22,071.38 : x
  2. Step 2: Convert to fraction form
    10,306.88/22,071.38 = 22,071.38/x
  3. Step 3: Cross multiply
    10,306.88x = 22,071.38 × 22,071.38
  4. Step 4: Simplify right side
    10,306.88x = 487,145,594.39
  5. Step 5: Solve for x
    x = 487,145,594.39/10,306.88
  6. Step 6: Final answer
    x = 47,264.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.