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Finding the Third Proportional to 1,034.65 and 1,552.92

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Solution

The third proportional to 1,034.65 and 1,552.92 is: 2,330.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.65 : 1,552.92 = 1,552.92 : x
  2. Step 2: Convert to fraction form
    1,034.65/1,552.92 = 1,552.92/x
  3. Step 3: Cross multiply
    1,034.65x = 1,552.92 × 1,552.92
  4. Step 4: Simplify right side
    1,034.65x = 2,411,566.35
  5. Step 5: Solve for x
    x = 2,411,566.35/1,034.65
  6. Step 6: Final answer
    x = 2,330.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.