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Finding the Third Proportional to 38,316 and 59,179

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Solution

The third proportional to 38,316 and 59,179 is: 91,401.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,316 : 59,179 = 59,179 : x
  2. Step 2: Convert to fraction form
    38,316/59,179 = 59,179/x
  3. Step 3: Cross multiply
    38,316x = 59,179 × 59,179
  4. Step 4: Simplify right side
    38,316x = 3,502,154,041
  5. Step 5: Solve for x
    x = 3,502,154,041/38,316
  6. Step 6: Final answer
    x = 91,401.87

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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.