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Finding the Third Proportional to 37,350 and 58,095

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Solution

The third proportional to 37,350 and 58,095 is: 90,362.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,350 : 58,095 = 58,095 : x
  2. Step 2: Convert to fraction form
    37,350/58,095 = 58,095/x
  3. Step 3: Cross multiply
    37,350x = 58,095 × 58,095
  4. Step 4: Simplify right side
    37,350x = 3,375,029,025
  5. Step 5: Solve for x
    x = 3,375,029,025/37,350
  6. Step 6: Final answer
    x = 90,362.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.