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Finding the Third Proportional to 32,220 and 70,982

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Solution

The third proportional to 32,220 and 70,982 is: 156,376.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,220 : 70,982 = 70,982 : x
  2. Step 2: Convert to fraction form
    32,220/70,982 = 70,982/x
  3. Step 3: Cross multiply
    32,220x = 70,982 × 70,982
  4. Step 4: Simplify right side
    32,220x = 5,038,444,324
  5. Step 5: Solve for x
    x = 5,038,444,324/32,220
  6. Step 6: Final answer
    x = 156,376.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.