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Finding the Third Proportional to 43,228.13 and 64,842.19

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Solution

The third proportional to 43,228.13 and 64,842.19 is: 97,263.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,228.13 : 64,842.19 = 64,842.19 : x
  2. Step 2: Convert to fraction form
    43,228.13/64,842.19 = 64,842.19/x
  3. Step 3: Cross multiply
    43,228.13x = 64,842.19 × 64,842.19
  4. Step 4: Simplify right side
    43,228.13x = 4,204,509,279.79
  5. Step 5: Solve for x
    x = 4,204,509,279.79/43,228.13
  6. Step 6: Final answer
    x = 97,263.28

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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.