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Finding the Third Proportional to 3,154.57 and 6,895.76

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Solution

The third proportional to 3,154.57 and 6,895.76 is: 15,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.57 : 6,895.76 = 6,895.76 : x
  2. Step 2: Convert to fraction form
    3,154.57/6,895.76 = 6,895.76/x
  3. Step 3: Cross multiply
    3,154.57x = 6,895.76 × 6,895.76
  4. Step 4: Simplify right side
    3,154.57x = 47,551,475.81
  5. Step 5: Solve for x
    x = 47,551,475.81/3,154.57
  6. Step 6: Final answer
    x = 15,073.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.