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Finding the Third Proportional to 6,972.75 and 16,356.94

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Solution

The third proportional to 6,972.75 and 16,356.94 is: 38,370.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.75 : 16,356.94 = 16,356.94 : x
  2. Step 2: Convert to fraction form
    6,972.75/16,356.94 = 16,356.94/x
  3. Step 3: Cross multiply
    6,972.75x = 16,356.94 × 16,356.94
  4. Step 4: Simplify right side
    6,972.75x = 267,549,404.38
  5. Step 5: Solve for x
    x = 267,549,404.38/6,972.75
  6. Step 6: Final answer
    x = 38,370.72

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.