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Finding the Third Proportional to 37,888 and 59,304

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Solution

The third proportional to 37,888 and 59,304 is: 92,825.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,888 : 59,304 = 59,304 : x
  2. Step 2: Convert to fraction form
    37,888/59,304 = 59,304/x
  3. Step 3: Cross multiply
    37,888x = 59,304 × 59,304
  4. Step 4: Simplify right side
    37,888x = 3,516,964,416
  5. Step 5: Solve for x
    x = 3,516,964,416/37,888
  6. Step 6: Final answer
    x = 92,825.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.