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Finding the Third Proportional to 6,644.53 and 14,585.91

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Solution

The third proportional to 6,644.53 and 14,585.91 is: 32,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.53 : 14,585.91 = 14,585.91 : x
  2. Step 2: Convert to fraction form
    6,644.53/14,585.91 = 14,585.91/x
  3. Step 3: Cross multiply
    6,644.53x = 14,585.91 × 14,585.91
  4. Step 4: Simplify right side
    6,644.53x = 212,748,661.13
  5. Step 5: Solve for x
    x = 212,748,661.13/6,644.53
  6. Step 6: Final answer
    x = 32,018.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.