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Finding the Third Proportional to 37,023 and 58,882.50

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Solution

The third proportional to 37,023 and 58,882.50 is: 93,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,023 : 58,882.50 = 58,882.50 : x
  2. Step 2: Convert to fraction form
    37,023/58,882.50 = 58,882.50/x
  3. Step 3: Cross multiply
    37,023x = 58,882.50 × 58,882.50
  4. Step 4: Simplify right side
    37,023x = 3,467,148,806.25
  5. Step 5: Solve for x
    x = 3,467,148,806.25/37,023
  6. Step 6: Final answer
    x = 93,648.51

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.