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Finding the Third Proportional to 21,296.25 and 46,693.13

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Solution

The third proportional to 21,296.25 and 46,693.13 is: 102,377.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,296.25 : 46,693.13 = 46,693.13 : x
  2. Step 2: Convert to fraction form
    21,296.25/46,693.13 = 46,693.13/x
  3. Step 3: Cross multiply
    21,296.25x = 46,693.13 × 46,693.13
  4. Step 4: Simplify right side
    21,296.25x = 2,180,247,922.27
  5. Step 5: Solve for x
    x = 2,180,247,922.27/21,296.25
  6. Step 6: Final answer
    x = 102,377.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.