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Finding the Third Proportional to 4,167.88 and 9,838.63

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Solution

The third proportional to 4,167.88 and 9,838.63 is: 23,224.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.88 : 9,838.63 = 9,838.63 : x
  2. Step 2: Convert to fraction form
    4,167.88/9,838.63 = 9,838.63/x
  3. Step 3: Cross multiply
    4,167.88x = 9,838.63 × 9,838.63
  4. Step 4: Simplify right side
    4,167.88x = 96,798,541.89
  5. Step 5: Solve for x
    x = 96,798,541.89/4,167.88
  6. Step 6: Final answer
    x = 23,224.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.