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Finding the Third Proportional to 917.16 and 1,966.78

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Solution

The third proportional to 917.16 and 1,966.78 is: 4,217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.16 : 1,966.78 = 1,966.78 : x
  2. Step 2: Convert to fraction form
    917.16/1,966.78 = 1,966.78/x
  3. Step 3: Cross multiply
    917.16x = 1,966.78 × 1,966.78
  4. Step 4: Simplify right side
    917.16x = 3,868,228.49
  5. Step 5: Solve for x
    x = 3,868,228.49/917.16
  6. Step 6: Final answer
    x = 4,217.63

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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.