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Finding the Third Proportional to 15,784.88 and 24,132.94

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Solution

The third proportional to 15,784.88 and 24,132.94 is: 36,896.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784.88 : 24,132.94 = 24,132.94 : x
  2. Step 2: Convert to fraction form
    15,784.88/24,132.94 = 24,132.94/x
  3. Step 3: Cross multiply
    15,784.88x = 24,132.94 × 24,132.94
  4. Step 4: Simplify right side
    15,784.88x = 582,398,672.38
  5. Step 5: Solve for x
    x = 582,398,672.38/15,784.88
  6. Step 6: Final answer
    x = 36,896.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.