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Finding the Third Proportional to 44,101.13 and 65,112.19

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Solution

The third proportional to 44,101.13 and 65,112.19 is: 96,133.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,101.13 : 65,112.19 = 65,112.19 : x
  2. Step 2: Convert to fraction form
    44,101.13/65,112.19 = 65,112.19/x
  3. Step 3: Cross multiply
    44,101.13x = 65,112.19 × 65,112.19
  4. Step 4: Simplify right side
    44,101.13x = 4,239,596,961.04
  5. Step 5: Solve for x
    x = 4,239,596,961.04/44,101.13
  6. Step 6: Final answer
    x = 96,133.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.