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Finding the Third Proportional to 37,948.50 and 60,426

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Solution

The third proportional to 37,948.50 and 60,426 is: 96,217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,948.50 : 60,426 = 60,426 : x
  2. Step 2: Convert to fraction form
    37,948.50/60,426 = 60,426/x
  3. Step 3: Cross multiply
    37,948.50x = 60,426 × 60,426
  4. Step 4: Simplify right side
    37,948.50x = 3,651,301,476
  5. Step 5: Solve for x
    x = 3,651,301,476/37,948.50
  6. Step 6: Final answer
    x = 96,217.28

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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.