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Finding the Third Proportional to 22,243.50 and 48,359

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Solution

The third proportional to 22,243.50 and 48,359 is: 105,136.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,243.50 : 48,359 = 48,359 : x
  2. Step 2: Convert to fraction form
    22,243.50/48,359 = 48,359/x
  3. Step 3: Cross multiply
    22,243.50x = 48,359 × 48,359
  4. Step 4: Simplify right side
    22,243.50x = 2,338,592,881
  5. Step 5: Solve for x
    x = 2,338,592,881/22,243.50
  6. Step 6: Final answer
    x = 105,136.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.