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Finding the Third Proportional to 37,983 and 61,025

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Solution

The third proportional to 37,983 and 61,025 is: 98,045.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,983 : 61,025 = 61,025 : x
  2. Step 2: Convert to fraction form
    37,983/61,025 = 61,025/x
  3. Step 3: Cross multiply
    37,983x = 61,025 × 61,025
  4. Step 4: Simplify right side
    37,983x = 3,724,050,625
  5. Step 5: Solve for x
    x = 3,724,050,625/37,983
  6. Step 6: Final answer
    x = 98,045.19

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.