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Finding the Third Proportional to 38,013 and 55,854

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Solution

The third proportional to 38,013 and 55,854 is: 82,068.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,013 : 55,854 = 55,854 : x
  2. Step 2: Convert to fraction form
    38,013/55,854 = 55,854/x
  3. Step 3: Cross multiply
    38,013x = 55,854 × 55,854
  4. Step 4: Simplify right side
    38,013x = 3,119,669,316
  5. Step 5: Solve for x
    x = 3,119,669,316/38,013
  6. Step 6: Final answer
    x = 82,068.48

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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.