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Finding the Third Proportional to 10,173.41 and 22,316.55

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Solution

The third proportional to 10,173.41 and 22,316.55 is: 48,953.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.41 : 22,316.55 = 22,316.55 : x
  2. Step 2: Convert to fraction form
    10,173.41/22,316.55 = 22,316.55/x
  3. Step 3: Cross multiply
    10,173.41x = 22,316.55 × 22,316.55
  4. Step 4: Simplify right side
    10,173.41x = 498,028,613.12
  5. Step 5: Solve for x
    x = 498,028,613.12/10,173.41
  6. Step 6: Final answer
    x = 48,953.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.