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Finding the Third Proportional to 37,332 and 58,271

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Solution

The third proportional to 37,332 and 58,271 is: 90,954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,332 : 58,271 = 58,271 : x
  2. Step 2: Convert to fraction form
    37,332/58,271 = 58,271/x
  3. Step 3: Cross multiply
    37,332x = 58,271 × 58,271
  4. Step 4: Simplify right side
    37,332x = 3,395,509,441
  5. Step 5: Solve for x
    x = 3,395,509,441/37,332
  6. Step 6: Final answer
    x = 90,954.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.