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Finding the Third Proportional to 38,048 and 58,557

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Solution

The third proportional to 38,048 and 58,557 is: 90,120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,048 : 58,557 = 58,557 : x
  2. Step 2: Convert to fraction form
    38,048/58,557 = 58,557/x
  3. Step 3: Cross multiply
    38,048x = 58,557 × 58,557
  4. Step 4: Simplify right side
    38,048x = 3,428,922,249
  5. Step 5: Solve for x
    x = 3,428,922,249/38,048
  6. Step 6: Final answer
    x = 90,120.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.