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Finding the Third Proportional to 5,656 and 9,998

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Solution

The third proportional to 5,656 and 9,998 is: 17,673.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656 : 9,998 = 9,998 : x
  2. Step 2: Convert to fraction form
    5,656/9,998 = 9,998/x
  3. Step 3: Cross multiply
    5,656x = 9,998 × 9,998
  4. Step 4: Simplify right side
    5,656x = 99,960,004
  5. Step 5: Solve for x
    x = 99,960,004/5,656
  6. Step 6: Final answer
    x = 17,673.27

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.