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Finding the Third Proportional to 15,293.81 and 21,649.78

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Solution

The third proportional to 15,293.81 and 21,649.78 is: 30,647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,293.81 : 21,649.78 = 21,649.78 : x
  2. Step 2: Convert to fraction form
    15,293.81/21,649.78 = 21,649.78/x
  3. Step 3: Cross multiply
    15,293.81x = 21,649.78 × 21,649.78
  4. Step 4: Simplify right side
    15,293.81x = 468,713,028.17
  5. Step 5: Solve for x
    x = 468,713,028.17/15,293.81
  6. Step 6: Final answer
    x = 30,647.23

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.