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Finding the Third Proportional to 32,025.38 and 47,859.19

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Solution

The third proportional to 32,025.38 and 47,859.19 is: 71,521.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,025.38 : 47,859.19 = 47,859.19 : x
  2. Step 2: Convert to fraction form
    32,025.38/47,859.19 = 47,859.19/x
  3. Step 3: Cross multiply
    32,025.38x = 47,859.19 × 47,859.19
  4. Step 4: Simplify right side
    32,025.38x = 2,290,501,828.16
  5. Step 5: Solve for x
    x = 2,290,501,828.16/32,025.38
  6. Step 6: Final answer
    x = 71,521.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.