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Finding the Third Proportional to 22,434 and 48,089

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Solution

The third proportional to 22,434 and 48,089 is: 103,082.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,434 : 48,089 = 48,089 : x
  2. Step 2: Convert to fraction form
    22,434/48,089 = 48,089/x
  3. Step 3: Cross multiply
    22,434x = 48,089 × 48,089
  4. Step 4: Simplify right side
    22,434x = 2,312,551,921
  5. Step 5: Solve for x
    x = 2,312,551,921/22,434
  6. Step 6: Final answer
    x = 103,082.46

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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.