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Finding the Third Proportional to 5,557.36 and 9,881.37

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Solution

The third proportional to 5,557.36 and 9,881.37 is: 17,569.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,557.36 : 9,881.37 = 9,881.37 : x
  2. Step 2: Convert to fraction form
    5,557.36/9,881.37 = 9,881.37/x
  3. Step 3: Cross multiply
    5,557.36x = 9,881.37 × 9,881.37
  4. Step 4: Simplify right side
    5,557.36x = 97,641,417.49
  5. Step 5: Solve for x
    x = 97,641,417.49/5,557.36
  6. Step 6: Final answer
    x = 17,569.75

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.