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Finding the Third Proportional to 32,382 and 70,788

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Solution

The third proportional to 32,382 and 70,788 is: 154,744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,382 : 70,788 = 70,788 : x
  2. Step 2: Convert to fraction form
    32,382/70,788 = 70,788/x
  3. Step 3: Cross multiply
    32,382x = 70,788 × 70,788
  4. Step 4: Simplify right side
    32,382x = 5,010,940,944
  5. Step 5: Solve for x
    x = 5,010,940,944/32,382
  6. Step 6: Final answer
    x = 154,744.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.