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Finding the Third Proportional to 21,948.25 and 47,406.25

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Solution

The third proportional to 21,948.25 and 47,406.25 is: 102,393.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,948.25 : 47,406.25 = 47,406.25 : x
  2. Step 2: Convert to fraction form
    21,948.25/47,406.25 = 47,406.25/x
  3. Step 3: Cross multiply
    21,948.25x = 47,406.25 × 47,406.25
  4. Step 4: Simplify right side
    21,948.25x = 2,247,352,539.06
  5. Step 5: Solve for x
    x = 2,247,352,539.06/21,948.25
  6. Step 6: Final answer
    x = 102,393.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.