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Finding the Third Proportional to 7,748 and 17,974

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Solution

The third proportional to 7,748 and 17,974 is: 41,696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748 : 17,974 = 17,974 : x
  2. Step 2: Convert to fraction form
    7,748/17,974 = 17,974/x
  3. Step 3: Cross multiply
    7,748x = 17,974 × 17,974
  4. Step 4: Simplify right side
    7,748x = 323,064,676
  5. Step 5: Solve for x
    x = 323,064,676/7,748
  6. Step 6: Final answer
    x = 41,696.53

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.