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Finding the Third Proportional to 1,732.50 and 2,597.63

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Solution

The third proportional to 1,732.50 and 2,597.63 is: 3,894.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.50 : 2,597.63 = 2,597.63 : x
  2. Step 2: Convert to fraction form
    1,732.50/2,597.63 = 2,597.63/x
  3. Step 3: Cross multiply
    1,732.50x = 2,597.63 × 2,597.63
  4. Step 4: Simplify right side
    1,732.50x = 6,747,655.64
  5. Step 5: Solve for x
    x = 6,747,655.64/1,732.50
  6. Step 6: Final answer
    x = 3,894.75

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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.