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Finding the Third Proportional to 22,309.50 and 48,507

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Solution

The third proportional to 22,309.50 and 48,507 is: 105,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309.50 : 48,507 = 48,507 : x
  2. Step 2: Convert to fraction form
    22,309.50/48,507 = 48,507/x
  3. Step 3: Cross multiply
    22,309.50x = 48,507 × 48,507
  4. Step 4: Simplify right side
    22,309.50x = 2,352,929,049
  5. Step 5: Solve for x
    x = 2,352,929,049/22,309.50
  6. Step 6: Final answer
    x = 105,467.58

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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.