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Finding the Third Proportional to 11,557 and 17,417

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Solution

The third proportional to 11,557 and 17,417 is: 26,248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557 : 17,417 = 17,417 : x
  2. Step 2: Convert to fraction form
    11,557/17,417 = 17,417/x
  3. Step 3: Cross multiply
    11,557x = 17,417 × 17,417
  4. Step 4: Simplify right side
    11,557x = 303,351,889
  5. Step 5: Solve for x
    x = 303,351,889/11,557
  6. Step 6: Final answer
    x = 26,248.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.