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Finding the Third Proportional to 17,475 and 25,672.50

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Solution

The third proportional to 17,475 and 25,672.50 is: 37,715.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,475 : 25,672.50 = 25,672.50 : x
  2. Step 2: Convert to fraction form
    17,475/25,672.50 = 25,672.50/x
  3. Step 3: Cross multiply
    17,475x = 25,672.50 × 25,672.50
  4. Step 4: Simplify right side
    17,475x = 659,077,256.25
  5. Step 5: Solve for x
    x = 659,077,256.25/17,475
  6. Step 6: Final answer
    x = 37,715.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.