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Finding the Third Proportional to 42,618.38 and 65,224.69

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Solution

The third proportional to 42,618.38 and 65,224.69 is: 99,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,618.38 : 65,224.69 = 65,224.69 : x
  2. Step 2: Convert to fraction form
    42,618.38/65,224.69 = 65,224.69/x
  3. Step 3: Cross multiply
    42,618.38x = 65,224.69 × 65,224.69
  4. Step 4: Simplify right side
    42,618.38x = 4,254,259,859.47
  5. Step 5: Solve for x
    x = 4,254,259,859.47/42,618.38
  6. Step 6: Final answer
    x = 99,822.20

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.