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Finding the Third Proportional to 42,974 and 64,482

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Solution

The third proportional to 42,974 and 64,482 is: 96,754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,974 : 64,482 = 64,482 : x
  2. Step 2: Convert to fraction form
    42,974/64,482 = 64,482/x
  3. Step 3: Cross multiply
    42,974x = 64,482 × 64,482
  4. Step 4: Simplify right side
    42,974x = 4,157,928,324
  5. Step 5: Solve for x
    x = 4,157,928,324/42,974
  6. Step 6: Final answer
    x = 96,754.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.