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Finding the Third Proportional to 32,023 and 69,788

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Solution

The third proportional to 32,023 and 69,788 is: 152,089.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,023 : 69,788 = 69,788 : x
  2. Step 2: Convert to fraction form
    32,023/69,788 = 69,788/x
  3. Step 3: Cross multiply
    32,023x = 69,788 × 69,788
  4. Step 4: Simplify right side
    32,023x = 4,870,364,944
  5. Step 5: Solve for x
    x = 4,870,364,944/32,023
  6. Step 6: Final answer
    x = 152,089.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.