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Finding the Third Proportional to 1,031.17 and 1,136.53

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Solution

The third proportional to 1,031.17 and 1,136.53 is: 1,252.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.17 : 1,136.53 = 1,136.53 : x
  2. Step 2: Convert to fraction form
    1,031.17/1,136.53 = 1,136.53/x
  3. Step 3: Cross multiply
    1,031.17x = 1,136.53 × 1,136.53
  4. Step 4: Simplify right side
    1,031.17x = 1,291,703.28
  5. Step 5: Solve for x
    x = 1,291,703.28/1,031.17
  6. Step 6: Final answer
    x = 1,252.66

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.