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Finding the Third Proportional to 9,342.94 and 12,586.88

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Solution

The third proportional to 9,342.94 and 12,586.88 is: 16,957.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.94 : 12,586.88 = 12,586.88 : x
  2. Step 2: Convert to fraction form
    9,342.94/12,586.88 = 12,586.88/x
  3. Step 3: Cross multiply
    9,342.94x = 12,586.88 × 12,586.88
  4. Step 4: Simplify right side
    9,342.94x = 158,429,422.27
  5. Step 5: Solve for x
    x = 158,429,422.27/9,342.94
  6. Step 6: Final answer
    x = 16,957.13

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.