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Finding the Third Proportional to 9,565.99 and 14,358.59

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Solution

The third proportional to 9,565.99 and 14,358.59 is: 21,552.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.99 : 14,358.59 = 14,358.59 : x
  2. Step 2: Convert to fraction form
    9,565.99/14,358.59 = 14,358.59/x
  3. Step 3: Cross multiply
    9,565.99x = 14,358.59 × 14,358.59
  4. Step 4: Simplify right side
    9,565.99x = 206,169,242.52
  5. Step 5: Solve for x
    x = 206,169,242.52/9,565.99
  6. Step 6: Final answer
    x = 21,552.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.