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Finding the Third Proportional to 7,925.63 and 12,229.88

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Solution

The third proportional to 7,925.63 and 12,229.88 is: 18,871.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,925.63 : 12,229.88 = 12,229.88 : x
  2. Step 2: Convert to fraction form
    7,925.63/12,229.88 = 12,229.88/x
  3. Step 3: Cross multiply
    7,925.63x = 12,229.88 × 12,229.88
  4. Step 4: Simplify right side
    7,925.63x = 149,569,842.52
  5. Step 5: Solve for x
    x = 149,569,842.52/7,925.63
  6. Step 6: Final answer
    x = 18,871.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.