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Finding the Third Proportional to 33,248 and 72,854

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Solution

The third proportional to 33,248 and 72,854 is: 159,639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,248 : 72,854 = 72,854 : x
  2. Step 2: Convert to fraction form
    33,248/72,854 = 72,854/x
  3. Step 3: Cross multiply
    33,248x = 72,854 × 72,854
  4. Step 4: Simplify right side
    33,248x = 5,307,705,316
  5. Step 5: Solve for x
    x = 5,307,705,316/33,248
  6. Step 6: Final answer
    x = 159,639.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.