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Finding the Third Proportional to 21,634.88 and 46,756.13

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Solution

The third proportional to 21,634.88 and 46,756.13 is: 101,046.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,634.88 : 46,756.13 = 46,756.13 : x
  2. Step 2: Convert to fraction form
    21,634.88/46,756.13 = 46,756.13/x
  3. Step 3: Cross multiply
    21,634.88x = 46,756.13 × 46,756.13
  4. Step 4: Simplify right side
    21,634.88x = 2,186,135,225.02
  5. Step 5: Solve for x
    x = 2,186,135,225.02/21,634.88
  6. Step 6: Final answer
    x = 101,046.82

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