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Finding the Third Proportional to 9,741.52 and 14,766.05

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Solution

The third proportional to 9,741.52 and 14,766.05 is: 22,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.52 : 14,766.05 = 14,766.05 : x
  2. Step 2: Convert to fraction form
    9,741.52/14,766.05 = 14,766.05/x
  3. Step 3: Cross multiply
    9,741.52x = 14,766.05 × 14,766.05
  4. Step 4: Simplify right side
    9,741.52x = 218,036,140.31
  5. Step 5: Solve for x
    x = 218,036,140.31/9,741.52
  6. Step 6: Final answer
    x = 22,382.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.