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Finding the Third Proportional to 8,935.95 and 19,058.41

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Solution

The third proportional to 8,935.95 and 19,058.41 is: 40,647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,935.95 : 19,058.41 = 19,058.41 : x
  2. Step 2: Convert to fraction form
    8,935.95/19,058.41 = 19,058.41/x
  3. Step 3: Cross multiply
    8,935.95x = 19,058.41 × 19,058.41
  4. Step 4: Simplify right side
    8,935.95x = 363,223,146.58
  5. Step 5: Solve for x
    x = 363,223,146.58/8,935.95
  6. Step 6: Final answer
    x = 40,647.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.