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Finding the Third Proportional to 5,888 and 15,664

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Solution

The third proportional to 5,888 and 15,664 is: 41,671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888 : 15,664 = 15,664 : x
  2. Step 2: Convert to fraction form
    5,888/15,664 = 15,664/x
  3. Step 3: Cross multiply
    5,888x = 15,664 × 15,664
  4. Step 4: Simplify right side
    5,888x = 245,360,896
  5. Step 5: Solve for x
    x = 245,360,896/5,888
  6. Step 6: Final answer
    x = 41,671.35

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.