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Finding the Third Proportional to 22,506.75 and 34,971.75

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Solution

The third proportional to 22,506.75 and 34,971.75 is: 54,340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,506.75 : 34,971.75 = 34,971.75 : x
  2. Step 2: Convert to fraction form
    22,506.75/34,971.75 = 34,971.75/x
  3. Step 3: Cross multiply
    22,506.75x = 34,971.75 × 34,971.75
  4. Step 4: Simplify right side
    22,506.75x = 1,223,023,298.06
  5. Step 5: Solve for x
    x = 1,223,023,298.06/22,506.75
  6. Step 6: Final answer
    x = 54,340.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.