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Finding the Third Proportional to 38,823 and 83,248.50

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Solution

The third proportional to 38,823 and 83,248.50 is: 178,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,823 : 83,248.50 = 83,248.50 : x
  2. Step 2: Convert to fraction form
    38,823/83,248.50 = 83,248.50/x
  3. Step 3: Cross multiply
    38,823x = 83,248.50 × 83,248.50
  4. Step 4: Simplify right side
    38,823x = 6,930,312,752.25
  5. Step 5: Solve for x
    x = 6,930,312,752.25/38,823
  6. Step 6: Final answer
    x = 178,510.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.