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Finding the Third Proportional to 37,894 and 59,445

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Solution

The third proportional to 37,894 and 59,445 is: 93,252.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,894 : 59,445 = 59,445 : x
  2. Step 2: Convert to fraction form
    37,894/59,445 = 59,445/x
  3. Step 3: Cross multiply
    37,894x = 59,445 × 59,445
  4. Step 4: Simplify right side
    37,894x = 3,533,708,025
  5. Step 5: Solve for x
    x = 3,533,708,025/37,894
  6. Step 6: Final answer
    x = 93,252.44

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.