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Finding the Third Proportional to 19,484 and 31,377.75

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Solution

The third proportional to 19,484 and 31,377.75 is: 50,531.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,484 : 31,377.75 = 31,377.75 : x
  2. Step 2: Convert to fraction form
    19,484/31,377.75 = 31,377.75/x
  3. Step 3: Cross multiply
    19,484x = 31,377.75 × 31,377.75
  4. Step 4: Simplify right side
    19,484x = 984,563,195.06
  5. Step 5: Solve for x
    x = 984,563,195.06/19,484
  6. Step 6: Final answer
    x = 50,531.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.