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Finding the Third Proportional to 5,853.94 and 13,915.13

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Solution

The third proportional to 5,853.94 and 13,915.13 is: 33,077.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.94 : 13,915.13 = 13,915.13 : x
  2. Step 2: Convert to fraction form
    5,853.94/13,915.13 = 13,915.13/x
  3. Step 3: Cross multiply
    5,853.94x = 13,915.13 × 13,915.13
  4. Step 4: Simplify right side
    5,853.94x = 193,630,703.77
  5. Step 5: Solve for x
    x = 193,630,703.77/5,853.94
  6. Step 6: Final answer
    x = 33,077.00

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.