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Finding the Third Proportional to 22,302 and 35,876.25

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Solution

The third proportional to 22,302 and 35,876.25 is: 57,712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302 : 35,876.25 = 35,876.25 : x
  2. Step 2: Convert to fraction form
    22,302/35,876.25 = 35,876.25/x
  3. Step 3: Cross multiply
    22,302x = 35,876.25 × 35,876.25
  4. Step 4: Simplify right side
    22,302x = 1,287,105,314.06
  5. Step 5: Solve for x
    x = 1,287,105,314.06/22,302
  6. Step 6: Final answer
    x = 57,712.55

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.