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Finding the Third Proportional to 38,475 and 84,078

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Solution

The third proportional to 38,475 and 84,078 is: 183,732.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,475 : 84,078 = 84,078 : x
  2. Step 2: Convert to fraction form
    38,475/84,078 = 84,078/x
  3. Step 3: Cross multiply
    38,475x = 84,078 × 84,078
  4. Step 4: Simplify right side
    38,475x = 7,069,110,084
  5. Step 5: Solve for x
    x = 7,069,110,084/38,475
  6. Step 6: Final answer
    x = 183,732.56

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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.