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Finding the Third Proportional to 37,573 and 58,511

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Solution

The third proportional to 37,573 and 58,511 is: 91,116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,573 : 58,511 = 58,511 : x
  2. Step 2: Convert to fraction form
    37,573/58,511 = 58,511/x
  3. Step 3: Cross multiply
    37,573x = 58,511 × 58,511
  4. Step 4: Simplify right side
    37,573x = 3,423,537,121
  5. Step 5: Solve for x
    x = 3,423,537,121/37,573
  6. Step 6: Final answer
    x = 91,116.95

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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.