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Finding the Third Proportional to 8,977.50 and 19,565.44

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Solution

The third proportional to 8,977.50 and 19,565.44 is: 42,640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.50 : 19,565.44 = 19,565.44 : x
  2. Step 2: Convert to fraction form
    8,977.50/19,565.44 = 19,565.44/x
  3. Step 3: Cross multiply
    8,977.50x = 19,565.44 × 19,565.44
  4. Step 4: Simplify right side
    8,977.50x = 382,806,344.57
  5. Step 5: Solve for x
    x = 382,806,344.57/8,977.50
  6. Step 6: Final answer
    x = 42,640.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.