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Finding the Third Proportional to 32,350 and 70,715

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Solution

The third proportional to 32,350 and 70,715 is: 154,578.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,350 : 70,715 = 70,715 : x
  2. Step 2: Convert to fraction form
    32,350/70,715 = 70,715/x
  3. Step 3: Cross multiply
    32,350x = 70,715 × 70,715
  4. Step 4: Simplify right side
    32,350x = 5,000,611,225
  5. Step 5: Solve for x
    x = 5,000,611,225/32,350
  6. Step 6: Final answer
    x = 154,578.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.