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Finding the Third Proportional to 7,748 and 18,475

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Solution

The third proportional to 7,748 and 18,475 is: 44,053.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748 : 18,475 = 18,475 : x
  2. Step 2: Convert to fraction form
    7,748/18,475 = 18,475/x
  3. Step 3: Cross multiply
    7,748x = 18,475 × 18,475
  4. Step 4: Simplify right side
    7,748x = 341,325,625
  5. Step 5: Solve for x
    x = 341,325,625/7,748
  6. Step 6: Final answer
    x = 44,053.38

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.