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Finding the Third Proportional to 1,915.29 and 4,132.90

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Solution

The third proportional to 1,915.29 and 4,132.90 is: 8,918.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.29 : 4,132.90 = 4,132.90 : x
  2. Step 2: Convert to fraction form
    1,915.29/4,132.90 = 4,132.90/x
  3. Step 3: Cross multiply
    1,915.29x = 4,132.90 × 4,132.90
  4. Step 4: Simplify right side
    1,915.29x = 17,080,849.49
  5. Step 5: Solve for x
    x = 17,080,849.49/1,915.29
  6. Step 6: Final answer
    x = 8,918.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.