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Finding the Third Proportional to 35,720 and 72,412

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Solution

The third proportional to 35,720 and 72,412 is: 146,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,720 : 72,412 = 72,412 : x
  2. Step 2: Convert to fraction form
    35,720/72,412 = 72,412/x
  3. Step 3: Cross multiply
    35,720x = 72,412 × 72,412
  4. Step 4: Simplify right side
    35,720x = 5,243,497,744
  5. Step 5: Solve for x
    x = 5,243,497,744/35,720
  6. Step 6: Final answer
    x = 146,794.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.