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Finding the Third Proportional to 3,001.50 and 6,528.38

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Solution

The third proportional to 3,001.50 and 6,528.38 is: 14,199.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.50 : 6,528.38 = 6,528.38 : x
  2. Step 2: Convert to fraction form
    3,001.50/6,528.38 = 6,528.38/x
  3. Step 3: Cross multiply
    3,001.50x = 6,528.38 × 6,528.38
  4. Step 4: Simplify right side
    3,001.50x = 42,619,680.14
  5. Step 5: Solve for x
    x = 42,619,680.14/3,001.50
  6. Step 6: Final answer
    x = 14,199.46

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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.