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Finding the Third Proportional to 12,148.10 and 28,601.86

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Solution

The third proportional to 12,148.10 and 28,601.86 is: 67,341.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.10 : 28,601.86 = 28,601.86 : x
  2. Step 2: Convert to fraction form
    12,148.10/28,601.86 = 28,601.86/x
  3. Step 3: Cross multiply
    12,148.10x = 28,601.86 × 28,601.86
  4. Step 4: Simplify right side
    12,148.10x = 818,066,359.71
  5. Step 5: Solve for x
    x = 818,066,359.71/12,148.10
  6. Step 6: Final answer
    x = 67,341.09

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.