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Finding the Third Proportional to 32,706 and 70,593

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Solution

The third proportional to 32,706 and 70,593 is: 152,368.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,706 : 70,593 = 70,593 : x
  2. Step 2: Convert to fraction form
    32,706/70,593 = 70,593/x
  3. Step 3: Cross multiply
    32,706x = 70,593 × 70,593
  4. Step 4: Simplify right side
    32,706x = 4,983,371,649
  5. Step 5: Solve for x
    x = 4,983,371,649/32,706
  6. Step 6: Final answer
    x = 152,368.73

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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.