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Finding the Third Proportional to 32,568.75 and 45,370.13

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Solution

The third proportional to 32,568.75 and 45,370.13 is: 63,203.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,568.75 : 45,370.13 = 45,370.13 : x
  2. Step 2: Convert to fraction form
    32,568.75/45,370.13 = 45,370.13/x
  3. Step 3: Cross multiply
    32,568.75x = 45,370.13 × 45,370.13
  4. Step 4: Simplify right side
    32,568.75x = 2,058,448,242.52
  5. Step 5: Solve for x
    x = 2,058,448,242.52/32,568.75
  6. Step 6: Final answer
    x = 63,203.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.