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Finding the Third Proportional to 38,023 and 78,455

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Solution

The third proportional to 38,023 and 78,455 is: 161,880.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,023 : 78,455 = 78,455 : x
  2. Step 2: Convert to fraction form
    38,023/78,455 = 78,455/x
  3. Step 3: Cross multiply
    38,023x = 78,455 × 78,455
  4. Step 4: Simplify right side
    38,023x = 6,155,187,025
  5. Step 5: Solve for x
    x = 6,155,187,025/38,023
  6. Step 6: Final answer
    x = 161,880.63

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.