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Finding the Third Proportional to 32,678 and 70,702

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Solution

The third proportional to 32,678 and 70,702 is: 152,970.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,678 : 70,702 = 70,702 : x
  2. Step 2: Convert to fraction form
    32,678/70,702 = 70,702/x
  3. Step 3: Cross multiply
    32,678x = 70,702 × 70,702
  4. Step 4: Simplify right side
    32,678x = 4,998,772,804
  5. Step 5: Solve for x
    x = 4,998,772,804/32,678
  6. Step 6: Final answer
    x = 152,970.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.