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Finding the Third Proportional to 32,065 and 47,833

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Solution

The third proportional to 32,065 and 47,833 is: 71,354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,065 : 47,833 = 47,833 : x
  2. Step 2: Convert to fraction form
    32,065/47,833 = 47,833/x
  3. Step 3: Cross multiply
    32,065x = 47,833 × 47,833
  4. Step 4: Simplify right side
    32,065x = 2,287,995,889
  5. Step 5: Solve for x
    x = 2,287,995,889/32,065
  6. Step 6: Final answer
    x = 71,354.93

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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.