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Finding the Third Proportional to 1,013.77 and 1,565.58

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Solution

The third proportional to 1,013.77 and 1,565.58 is: 2,417.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.77 : 1,565.58 = 1,565.58 : x
  2. Step 2: Convert to fraction form
    1,013.77/1,565.58 = 1,565.58/x
  3. Step 3: Cross multiply
    1,013.77x = 1,565.58 × 1,565.58
  4. Step 4: Simplify right side
    1,013.77x = 2,451,034.87
  5. Step 5: Solve for x
    x = 2,451,034.87/1,013.77
  6. Step 6: Final answer
    x = 2,417.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.