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Finding the Third Proportional to 22,101.19 and 47,732.63

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Solution

The third proportional to 22,101.19 and 47,732.63 is: 103,089.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,101.19 : 47,732.63 = 47,732.63 : x
  2. Step 2: Convert to fraction form
    22,101.19/47,732.63 = 47,732.63/x
  3. Step 3: Cross multiply
    22,101.19x = 47,732.63 × 47,732.63
  4. Step 4: Simplify right side
    22,101.19x = 2,278,403,489.39
  5. Step 5: Solve for x
    x = 2,278,403,489.39/22,101.19
  6. Step 6: Final answer
    x = 103,089.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.