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Finding the Third Proportional to 38,240 and 57,376

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Solution

The third proportional to 38,240 and 57,376 is: 86,088.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,240 : 57,376 = 57,376 : x
  2. Step 2: Convert to fraction form
    38,240/57,376 = 57,376/x
  3. Step 3: Cross multiply
    38,240x = 57,376 × 57,376
  4. Step 4: Simplify right side
    38,240x = 3,292,005,376
  5. Step 5: Solve for x
    x = 3,292,005,376/38,240
  6. Step 6: Final answer
    x = 86,088.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.