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Finding the Third Proportional to 3,593.95 and 7,820.72

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Solution

The third proportional to 3,593.95 and 7,820.72 is: 17,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,593.95 : 7,820.72 = 7,820.72 : x
  2. Step 2: Convert to fraction form
    3,593.95/7,820.72 = 7,820.72/x
  3. Step 3: Cross multiply
    3,593.95x = 7,820.72 × 7,820.72
  4. Step 4: Simplify right side
    3,593.95x = 61,163,641.77
  5. Step 5: Solve for x
    x = 61,163,641.77/3,593.95
  6. Step 6: Final answer
    x = 17,018.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.