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Finding the Third Proportional to 3,528.84 and 5,461.03

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Solution

The third proportional to 3,528.84 and 5,461.03 is: 8,451.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528.84 : 5,461.03 = 5,461.03 : x
  2. Step 2: Convert to fraction form
    3,528.84/5,461.03 = 5,461.03/x
  3. Step 3: Cross multiply
    3,528.84x = 5,461.03 × 5,461.03
  4. Step 4: Simplify right side
    3,528.84x = 29,822,862.31
  5. Step 5: Solve for x
    x = 29,822,862.31/3,528.84
  6. Step 6: Final answer
    x = 8,451.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.