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Finding the Third Proportional to 22,262.50 and 48,413

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Solution

The third proportional to 22,262.50 and 48,413 is: 105,281.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,262.50 : 48,413 = 48,413 : x
  2. Step 2: Convert to fraction form
    22,262.50/48,413 = 48,413/x
  3. Step 3: Cross multiply
    22,262.50x = 48,413 × 48,413
  4. Step 4: Simplify right side
    22,262.50x = 2,343,818,569
  5. Step 5: Solve for x
    x = 2,343,818,569/22,262.50
  6. Step 6: Final answer
    x = 105,281.01

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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.