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Finding the Third Proportional to 10,442.25 and 22,530.75

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Solution

The third proportional to 10,442.25 and 22,530.75 is: 48,613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.25 : 22,530.75 = 22,530.75 : x
  2. Step 2: Convert to fraction form
    10,442.25/22,530.75 = 22,530.75/x
  3. Step 3: Cross multiply
    10,442.25x = 22,530.75 × 22,530.75
  4. Step 4: Simplify right side
    10,442.25x = 507,634,695.56
  5. Step 5: Solve for x
    x = 507,634,695.56/10,442.25
  6. Step 6: Final answer
    x = 48,613.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.