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Finding the Third Proportional to 32,752 and 76,987

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Solution

The third proportional to 32,752 and 76,987 is: 180,965.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,752 : 76,987 = 76,987 : x
  2. Step 2: Convert to fraction form
    32,752/76,987 = 76,987/x
  3. Step 3: Cross multiply
    32,752x = 76,987 × 76,987
  4. Step 4: Simplify right side
    32,752x = 5,926,998,169
  5. Step 5: Solve for x
    x = 5,926,998,169/32,752
  6. Step 6: Final answer
    x = 180,965.99

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.