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Finding the Third Proportional to 2,565.56 and 2,646.56

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Solution

The third proportional to 2,565.56 and 2,646.56 is: 2,730.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.56 : 2,646.56 = 2,646.56 : x
  2. Step 2: Convert to fraction form
    2,565.56/2,646.56 = 2,646.56/x
  3. Step 3: Cross multiply
    2,565.56x = 2,646.56 × 2,646.56
  4. Step 4: Simplify right side
    2,565.56x = 7,004,293.07
  5. Step 5: Solve for x
    x = 7,004,293.07/2,565.56
  6. Step 6: Final answer
    x = 2,730.12

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.