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Finding the Third Proportional to 21,218.25 and 46,517.06

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Solution

The third proportional to 21,218.25 and 46,517.06 is: 101,980.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,218.25 : 46,517.06 = 46,517.06 : x
  2. Step 2: Convert to fraction form
    21,218.25/46,517.06 = 46,517.06/x
  3. Step 3: Cross multiply
    21,218.25x = 46,517.06 × 46,517.06
  4. Step 4: Simplify right side
    21,218.25x = 2,163,837,103.63
  5. Step 5: Solve for x
    x = 2,163,837,103.63/21,218.25
  6. Step 6: Final answer
    x = 101,980.00

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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.