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Finding the Third Proportional to 44,415.38 and 66,412.13

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Solution

The third proportional to 44,415.38 and 66,412.13 is: 99,302.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,415.38 : 66,412.13 = 66,412.13 : x
  2. Step 2: Convert to fraction form
    44,415.38/66,412.13 = 66,412.13/x
  3. Step 3: Cross multiply
    44,415.38x = 66,412.13 × 66,412.13
  4. Step 4: Simplify right side
    44,415.38x = 4,410,570,347.02
  5. Step 5: Solve for x
    x = 4,410,570,347.02/44,415.38
  6. Step 6: Final answer
    x = 99,302.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.