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Finding the Third Proportional to 21,746 and 47,988

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Solution

The third proportional to 21,746 and 47,988 is: 105,897.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,746 : 47,988 = 47,988 : x
  2. Step 2: Convert to fraction form
    21,746/47,988 = 47,988/x
  3. Step 3: Cross multiply
    21,746x = 47,988 × 47,988
  4. Step 4: Simplify right side
    21,746x = 2,302,848,144
  5. Step 5: Solve for x
    x = 2,302,848,144/21,746
  6. Step 6: Final answer
    x = 105,897.55

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.