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Finding the Third Proportional to 21,748 and 47,992

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Solution

The third proportional to 21,748 and 47,992 is: 105,905.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,748 : 47,992 = 47,992 : x
  2. Step 2: Convert to fraction form
    21,748/47,992 = 47,992/x
  3. Step 3: Cross multiply
    21,748x = 47,992 × 47,992
  4. Step 4: Simplify right side
    21,748x = 2,303,232,064
  5. Step 5: Solve for x
    x = 2,303,232,064/21,748
  6. Step 6: Final answer
    x = 105,905.47

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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.