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Finding the Third Proportional to 9,927.56 and 14,587.59

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Solution

The third proportional to 9,927.56 and 14,587.59 is: 21,435.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.56 : 14,587.59 = 14,587.59 : x
  2. Step 2: Convert to fraction form
    9,927.56/14,587.59 = 14,587.59/x
  3. Step 3: Cross multiply
    9,927.56x = 14,587.59 × 14,587.59
  4. Step 4: Simplify right side
    9,927.56x = 212,797,891.42
  5. Step 5: Solve for x
    x = 212,797,891.42/9,927.56
  6. Step 6: Final answer
    x = 21,435.06

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.