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Finding the Third Proportional to 40,981.42 and 63,224.11

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Solution

The third proportional to 40,981.42 and 63,224.11 is: 97,539.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,981.42 : 63,224.11 = 63,224.11 : x
  2. Step 2: Convert to fraction form
    40,981.42/63,224.11 = 63,224.11/x
  3. Step 3: Cross multiply
    40,981.42x = 63,224.11 × 63,224.11
  4. Step 4: Simplify right side
    40,981.42x = 3,997,287,959.96
  5. Step 5: Solve for x
    x = 3,997,287,959.96/40,981.42
  6. Step 6: Final answer
    x = 97,539.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.