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Finding the Third Proportional to 9,613.69 and 24,148.13

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Solution

The third proportional to 9,613.69 and 24,148.13 is: 60,656.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.69 : 24,148.13 = 24,148.13 : x
  2. Step 2: Convert to fraction form
    9,613.69/24,148.13 = 24,148.13/x
  3. Step 3: Cross multiply
    9,613.69x = 24,148.13 × 24,148.13
  4. Step 4: Simplify right side
    9,613.69x = 583,131,941.02
  5. Step 5: Solve for x
    x = 583,131,941.02/9,613.69
  6. Step 6: Final answer
    x = 60,656.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.