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Finding the Third Proportional to 532.13 and 1,166.91

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Solution

The third proportional to 532.13 and 1,166.91 is: 2,558.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.13 : 1,166.91 = 1,166.91 : x
  2. Step 2: Convert to fraction form
    532.13/1,166.91 = 1,166.91/x
  3. Step 3: Cross multiply
    532.13x = 1,166.91 × 1,166.91
  4. Step 4: Simplify right side
    532.13x = 1,361,670.20
  5. Step 5: Solve for x
    x = 1,361,670.20/532.13
  6. Step 6: Final answer
    x = 2,558.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.