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Finding the Third Proportional to 1,565.25 and 2,478.38

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Solution

The third proportional to 1,565.25 and 2,478.38 is: 3,924.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.25 : 2,478.38 = 2,478.38 : x
  2. Step 2: Convert to fraction form
    1,565.25/2,478.38 = 2,478.38/x
  3. Step 3: Cross multiply
    1,565.25x = 2,478.38 × 2,478.38
  4. Step 4: Simplify right side
    1,565.25x = 6,142,342.64
  5. Step 5: Solve for x
    x = 6,142,342.64/1,565.25
  6. Step 6: Final answer
    x = 3,924.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.