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Finding the Third Proportional to 38,316 and 54,854

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Solution

The third proportional to 38,316 and 54,854 is: 78,530.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,316 : 54,854 = 54,854 : x
  2. Step 2: Convert to fraction form
    38,316/54,854 = 54,854/x
  3. Step 3: Cross multiply
    38,316x = 54,854 × 54,854
  4. Step 4: Simplify right side
    38,316x = 3,008,961,316
  5. Step 5: Solve for x
    x = 3,008,961,316/38,316
  6. Step 6: Final answer
    x = 78,530.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.