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Finding the Third Proportional to 9,577.50 and 20,613

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Solution

The third proportional to 9,577.50 and 20,613 is: 44,363.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.50 : 20,613 = 20,613 : x
  2. Step 2: Convert to fraction form
    9,577.50/20,613 = 20,613/x
  3. Step 3: Cross multiply
    9,577.50x = 20,613 × 20,613
  4. Step 4: Simplify right side
    9,577.50x = 424,895,769
  5. Step 5: Solve for x
    x = 424,895,769/9,577.50
  6. Step 6: Final answer
    x = 44,363.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.