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Finding the Third Proportional to 7,656 and 17,706

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Solution

The third proportional to 7,656 and 17,706 is: 40,948.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656 : 17,706 = 17,706 : x
  2. Step 2: Convert to fraction form
    7,656/17,706 = 17,706/x
  3. Step 3: Cross multiply
    7,656x = 17,706 × 17,706
  4. Step 4: Simplify right side
    7,656x = 313,502,436
  5. Step 5: Solve for x
    x = 313,502,436/7,656
  6. Step 6: Final answer
    x = 40,948.59

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.