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Finding the Third Proportional to 6,565.59 and 14,406.75

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Solution

The third proportional to 6,565.59 and 14,406.75 is: 31,612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.59 : 14,406.75 = 14,406.75 : x
  2. Step 2: Convert to fraction form
    6,565.59/14,406.75 = 14,406.75/x
  3. Step 3: Cross multiply
    6,565.59x = 14,406.75 × 14,406.75
  4. Step 4: Simplify right side
    6,565.59x = 207,554,445.56
  5. Step 5: Solve for x
    x = 207,554,445.56/6,565.59
  6. Step 6: Final answer
    x = 31,612.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.