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Finding the Third Proportional to 10,123.42 and 21,630.80

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Solution

The third proportional to 10,123.42 and 21,630.80 is: 46,218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123.42 : 21,630.80 = 21,630.80 : x
  2. Step 2: Convert to fraction form
    10,123.42/21,630.80 = 21,630.80/x
  3. Step 3: Cross multiply
    10,123.42x = 21,630.80 × 21,630.80
  4. Step 4: Simplify right side
    10,123.42x = 467,891,373.45
  5. Step 5: Solve for x
    x = 467,891,373.45/10,123.42
  6. Step 6: Final answer
    x = 46,218.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.