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Finding the Third Proportional to 35,710 and 75,432

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Solution

The third proportional to 35,710 and 75,432 is: 159,338.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,710 : 75,432 = 75,432 : x
  2. Step 2: Convert to fraction form
    35,710/75,432 = 75,432/x
  3. Step 3: Cross multiply
    35,710x = 75,432 × 75,432
  4. Step 4: Simplify right side
    35,710x = 5,689,986,624
  5. Step 5: Solve for x
    x = 5,689,986,624/35,710
  6. Step 6: Final answer
    x = 159,338.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.