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Finding the Third Proportional to 32,711 and 70,603

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Solution

The third proportional to 32,711 and 70,603 is: 152,388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,711 : 70,603 = 70,603 : x
  2. Step 2: Convert to fraction form
    32,711/70,603 = 70,603/x
  3. Step 3: Cross multiply
    32,711x = 70,603 × 70,603
  4. Step 4: Simplify right side
    32,711x = 4,984,783,609
  5. Step 5: Solve for x
    x = 4,984,783,609/32,711
  6. Step 6: Final answer
    x = 152,388.60

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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.