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Finding the Third Proportional to 7,565.91 and 11,417.20

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Solution

The third proportional to 7,565.91 and 11,417.20 is: 17,228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.91 : 11,417.20 = 11,417.20 : x
  2. Step 2: Convert to fraction form
    7,565.91/11,417.20 = 11,417.20/x
  3. Step 3: Cross multiply
    7,565.91x = 11,417.20 × 11,417.20
  4. Step 4: Simplify right side
    7,565.91x = 130,352,527.20
  5. Step 5: Solve for x
    x = 130,352,527.20/7,565.91
  6. Step 6: Final answer
    x = 17,228.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.