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Finding the Third Proportional to 37,287 and 48,748.50

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Solution

The third proportional to 37,287 and 48,748.50 is: 63,733.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,287 : 48,748.50 = 48,748.50 : x
  2. Step 2: Convert to fraction form
    37,287/48,748.50 = 48,748.50/x
  3. Step 3: Cross multiply
    37,287x = 48,748.50 × 48,748.50
  4. Step 4: Simplify right side
    37,287x = 2,376,416,252.25
  5. Step 5: Solve for x
    x = 2,376,416,252.25/37,287
  6. Step 6: Final answer
    x = 63,733.10

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.