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Finding the Third Proportional to 37,964 and 58,658

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Solution

The third proportional to 37,964 and 58,658 is: 90,632.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,964 : 58,658 = 58,658 : x
  2. Step 2: Convert to fraction form
    37,964/58,658 = 58,658/x
  3. Step 3: Cross multiply
    37,964x = 58,658 × 58,658
  4. Step 4: Simplify right side
    37,964x = 3,440,760,964
  5. Step 5: Solve for x
    x = 3,440,760,964/37,964
  6. Step 6: Final answer
    x = 90,632.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.