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Finding the Third Proportional to 3,656 and 7,896.50

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Solution

The third proportional to 3,656 and 7,896.50 is: 17,055.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656 : 7,896.50 = 7,896.50 : x
  2. Step 2: Convert to fraction form
    3,656/7,896.50 = 7,896.50/x
  3. Step 3: Cross multiply
    3,656x = 7,896.50 × 7,896.50
  4. Step 4: Simplify right side
    3,656x = 62,354,712.25
  5. Step 5: Solve for x
    x = 62,354,712.25/3,656
  6. Step 6: Final answer
    x = 17,055.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.