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Finding the Third Proportional to 1,820.40 and 3,981.51

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Solution

The third proportional to 1,820.40 and 3,981.51 is: 8,708.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.40 : 3,981.51 = 3,981.51 : x
  2. Step 2: Convert to fraction form
    1,820.40/3,981.51 = 3,981.51/x
  3. Step 3: Cross multiply
    1,820.40x = 3,981.51 × 3,981.51
  4. Step 4: Simplify right side
    1,820.40x = 15,852,404.46
  5. Step 5: Solve for x
    x = 15,852,404.46/1,820.40
  6. Step 6: Final answer
    x = 8,708.21

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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.