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Finding the Third Proportional to 48,033 and 70,806.38

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Solution

The third proportional to 48,033 and 70,806.38 is: 104,377.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,033 : 70,806.38 = 70,806.38 : x
  2. Step 2: Convert to fraction form
    48,033/70,806.38 = 70,806.38/x
  3. Step 3: Cross multiply
    48,033x = 70,806.38 × 70,806.38
  4. Step 4: Simplify right side
    48,033x = 5,013,542,740.64
  5. Step 5: Solve for x
    x = 5,013,542,740.64/48,033
  6. Step 6: Final answer
    x = 104,377.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.