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Finding the Third Proportional to 35,534 and 75,280

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Solution

The third proportional to 35,534 and 75,280 is: 159,483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,534 : 75,280 = 75,280 : x
  2. Step 2: Convert to fraction form
    35,534/75,280 = 75,280/x
  3. Step 3: Cross multiply
    35,534x = 75,280 × 75,280
  4. Step 4: Simplify right side
    35,534x = 5,667,078,400
  5. Step 5: Solve for x
    x = 5,667,078,400/35,534
  6. Step 6: Final answer
    x = 159,483.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.