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Finding the Third Proportional to 15,392.25 and 22,009.50

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Solution

The third proportional to 15,392.25 and 22,009.50 is: 31,471.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,392.25 : 22,009.50 = 22,009.50 : x
  2. Step 2: Convert to fraction form
    15,392.25/22,009.50 = 22,009.50/x
  3. Step 3: Cross multiply
    15,392.25x = 22,009.50 × 22,009.50
  4. Step 4: Simplify right side
    15,392.25x = 484,418,090.25
  5. Step 5: Solve for x
    x = 484,418,090.25/15,392.25
  6. Step 6: Final answer
    x = 31,471.56

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.