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Finding the Third Proportional to 929.17 and 1,321.13

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Solution

The third proportional to 929.17 and 1,321.13 is: 1,878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.17 : 1,321.13 = 1,321.13 : x
  2. Step 2: Convert to fraction form
    929.17/1,321.13 = 1,321.13/x
  3. Step 3: Cross multiply
    929.17x = 1,321.13 × 1,321.13
  4. Step 4: Simplify right side
    929.17x = 1,745,396.42
  5. Step 5: Solve for x
    x = 1,745,396.42/929.17
  6. Step 6: Final answer
    x = 1,878.45

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.