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Finding the Third Proportional to 22,316.50 and 29,617

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Solution

The third proportional to 22,316.50 and 29,617 is: 39,305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,316.50 : 29,617 = 29,617 : x
  2. Step 2: Convert to fraction form
    22,316.50/29,617 = 29,617/x
  3. Step 3: Cross multiply
    22,316.50x = 29,617 × 29,617
  4. Step 4: Simplify right side
    22,316.50x = 877,166,689
  5. Step 5: Solve for x
    x = 877,166,689/22,316.50
  6. Step 6: Final answer
    x = 39,305.75

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.