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Finding the Third Proportional to 3,126.38 and 4,700.95

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Solution

The third proportional to 3,126.38 and 4,700.95 is: 7,068.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.38 : 4,700.95 = 4,700.95 : x
  2. Step 2: Convert to fraction form
    3,126.38/4,700.95 = 4,700.95/x
  3. Step 3: Cross multiply
    3,126.38x = 4,700.95 × 4,700.95
  4. Step 4: Simplify right side
    3,126.38x = 22,098,960.28
  5. Step 5: Solve for x
    x = 22,098,960.28/3,126.38
  6. Step 6: Final answer
    x = 7,068.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.