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Finding the Third Proportional to 37,981.13 and 83,252.25

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Solution

The third proportional to 37,981.13 and 83,252.25 is: 182,483.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,981.13 : 83,252.25 = 83,252.25 : x
  2. Step 2: Convert to fraction form
    37,981.13/83,252.25 = 83,252.25/x
  3. Step 3: Cross multiply
    37,981.13x = 83,252.25 × 83,252.25
  4. Step 4: Simplify right side
    37,981.13x = 6,930,937,130.06
  5. Step 5: Solve for x
    x = 6,930,937,130.06/37,981.13
  6. Step 6: Final answer
    x = 182,483.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.