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Finding the Third Proportional to 2,397 and 3,595.50

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Solution

The third proportional to 2,397 and 3,595.50 is: 5,393.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397 : 3,595.50 = 3,595.50 : x
  2. Step 2: Convert to fraction form
    2,397/3,595.50 = 3,595.50/x
  3. Step 3: Cross multiply
    2,397x = 3,595.50 × 3,595.50
  4. Step 4: Simplify right side
    2,397x = 12,927,620.25
  5. Step 5: Solve for x
    x = 12,927,620.25/2,397
  6. Step 6: Final answer
    x = 5,393.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.