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Finding the Third Proportional to 1,630.31 and 3,526.41

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Solution

The third proportional to 1,630.31 and 3,526.41 is: 7,627.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.31 : 3,526.41 = 3,526.41 : x
  2. Step 2: Convert to fraction form
    1,630.31/3,526.41 = 3,526.41/x
  3. Step 3: Cross multiply
    1,630.31x = 3,526.41 × 3,526.41
  4. Step 4: Simplify right side
    1,630.31x = 12,435,541.04
  5. Step 5: Solve for x
    x = 12,435,541.04/1,630.31
  6. Step 6: Final answer
    x = 7,627.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.