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Finding the Third Proportional to 44,328.19 and 66,335.81

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Solution

The third proportional to 44,328.19 and 66,335.81 is: 99,269.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,328.19 : 66,335.81 = 66,335.81 : x
  2. Step 2: Convert to fraction form
    44,328.19/66,335.81 = 66,335.81/x
  3. Step 3: Cross multiply
    44,328.19x = 66,335.81 × 66,335.81
  4. Step 4: Simplify right side
    44,328.19x = 4,400,440,020.04
  5. Step 5: Solve for x
    x = 4,400,440,020.04/44,328.19
  6. Step 6: Final answer
    x = 99,269.57

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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.