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Finding the Third Proportional to 22,977.50 and 36,865.75

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Solution

The third proportional to 22,977.50 and 36,865.75 is: 59,148.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,977.50 : 36,865.75 = 36,865.75 : x
  2. Step 2: Convert to fraction form
    22,977.50/36,865.75 = 36,865.75/x
  3. Step 3: Cross multiply
    22,977.50x = 36,865.75 × 36,865.75
  4. Step 4: Simplify right side
    22,977.50x = 1,359,083,523.06
  5. Step 5: Solve for x
    x = 1,359,083,523.06/22,977.50
  6. Step 6: Final answer
    x = 59,148.45

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.