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Finding the Third Proportional to 24,219.32 and 51,373.14

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Solution

The third proportional to 24,219.32 and 51,373.14 is: 108,970.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,219.32 : 51,373.14 = 51,373.14 : x
  2. Step 2: Convert to fraction form
    24,219.32/51,373.14 = 51,373.14/x
  3. Step 3: Cross multiply
    24,219.32x = 51,373.14 × 51,373.14
  4. Step 4: Simplify right side
    24,219.32x = 2,639,199,778.35
  5. Step 5: Solve for x
    x = 2,639,199,778.35/24,219.32
  6. Step 6: Final answer
    x = 108,970.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.