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Finding the Third Proportional to 6,565.25 and 14,406.13

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Solution

The third proportional to 6,565.25 and 14,406.13 is: 31,611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.25 : 14,406.13 = 14,406.13 : x
  2. Step 2: Convert to fraction form
    6,565.25/14,406.13 = 14,406.13/x
  3. Step 3: Cross multiply
    6,565.25x = 14,406.13 × 14,406.13
  4. Step 4: Simplify right side
    6,565.25x = 207,536,437.52
  5. Step 5: Solve for x
    x = 207,536,437.52/6,565.25
  6. Step 6: Final answer
    x = 31,611.35

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1.5x scale

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.