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Finding the Third Proportional to 6,565.03 and 14,405.53

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Solution

The third proportional to 6,565.03 and 14,405.53 is: 31,609.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.03 : 14,405.53 = 14,405.53 : x
  2. Step 2: Convert to fraction form
    6,565.03/14,405.53 = 14,405.53/x
  3. Step 3: Cross multiply
    6,565.03x = 14,405.53 × 14,405.53
  4. Step 4: Simplify right side
    6,565.03x = 207,519,330.59
  5. Step 5: Solve for x
    x = 207,519,330.59/6,565.03
  6. Step 6: Final answer
    x = 31,609.80

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