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Finding the Third Proportional to 32,707 and 69,770

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Solution

The third proportional to 32,707 and 69,770 is: 148,832.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,707 : 69,770 = 69,770 : x
  2. Step 2: Convert to fraction form
    32,707/69,770 = 69,770/x
  3. Step 3: Cross multiply
    32,707x = 69,770 × 69,770
  4. Step 4: Simplify right side
    32,707x = 4,867,852,900
  5. Step 5: Solve for x
    x = 4,867,852,900/32,707
  6. Step 6: Final answer
    x = 148,832.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.