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Finding the Third Proportional to 32,377 and 70,638

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Solution

The third proportional to 32,377 and 70,638 is: 154,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,377 : 70,638 = 70,638 : x
  2. Step 2: Convert to fraction form
    32,377/70,638 = 70,638/x
  3. Step 3: Cross multiply
    32,377x = 70,638 × 70,638
  4. Step 4: Simplify right side
    32,377x = 4,989,727,044
  5. Step 5: Solve for x
    x = 4,989,727,044/32,377
  6. Step 6: Final answer
    x = 154,113.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.