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Finding the Third Proportional to 6,931.83 and 10,154.11

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Solution

The third proportional to 6,931.83 and 10,154.11 is: 14,874.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.83 : 10,154.11 = 10,154.11 : x
  2. Step 2: Convert to fraction form
    6,931.83/10,154.11 = 10,154.11/x
  3. Step 3: Cross multiply
    6,931.83x = 10,154.11 × 10,154.11
  4. Step 4: Simplify right side
    6,931.83x = 103,105,937.20
  5. Step 5: Solve for x
    x = 103,105,937.20/6,931.83
  6. Step 6: Final answer
    x = 14,874.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.