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Finding the Third Proportional to 37,812.75 and 55,854

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Solution

The third proportional to 37,812.75 and 55,854 is: 82,503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,812.75 : 55,854 = 55,854 : x
  2. Step 2: Convert to fraction form
    37,812.75/55,854 = 55,854/x
  3. Step 3: Cross multiply
    37,812.75x = 55,854 × 55,854
  4. Step 4: Simplify right side
    37,812.75x = 3,119,669,316
  5. Step 5: Solve for x
    x = 3,119,669,316/37,812.75
  6. Step 6: Final answer
    x = 82,503.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.