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Finding the Third Proportional to 10,152.74 and 22,267.20

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Solution

The third proportional to 10,152.74 and 22,267.20 is: 48,836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.74 : 22,267.20 = 22,267.20 : x
  2. Step 2: Convert to fraction form
    10,152.74/22,267.20 = 22,267.20/x
  3. Step 3: Cross multiply
    10,152.74x = 22,267.20 × 22,267.20
  4. Step 4: Simplify right side
    10,152.74x = 495,827,987.09
  5. Step 5: Solve for x
    x = 495,827,987.09/10,152.74
  6. Step 6: Final answer
    x = 48,836.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.