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Finding the Third Proportional to 4,104.90 and 8,927.40

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Solution

The third proportional to 4,104.90 and 8,927.40 is: 19,415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,104.90 : 8,927.40 = 8,927.40 : x
  2. Step 2: Convert to fraction form
    4,104.90/8,927.40 = 8,927.40/x
  3. Step 3: Cross multiply
    4,104.90x = 8,927.40 × 8,927.40
  4. Step 4: Simplify right side
    4,104.90x = 79,698,512.61
  5. Step 5: Solve for x
    x = 79,698,512.61/4,104.90
  6. Step 6: Final answer
    x = 19,415.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.