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Finding the Third Proportional to 7,182.42 and 9,652.92

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Solution

The third proportional to 7,182.42 and 9,652.92 is: 12,973.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.42 : 9,652.92 = 9,652.92 : x
  2. Step 2: Convert to fraction form
    7,182.42/9,652.92 = 9,652.92/x
  3. Step 3: Cross multiply
    7,182.42x = 9,652.92 × 9,652.92
  4. Step 4: Simplify right side
    7,182.42x = 93,178,900.72
  5. Step 5: Solve for x
    x = 93,178,900.72/7,182.42
  6. Step 6: Final answer
    x = 12,973.19

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.