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Finding the Third Proportional to 9,334.88 and 14,788.41

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Solution

The third proportional to 9,334.88 and 14,788.41 is: 23,427.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.88 : 14,788.41 = 14,788.41 : x
  2. Step 2: Convert to fraction form
    9,334.88/14,788.41 = 14,788.41/x
  3. Step 3: Cross multiply
    9,334.88x = 14,788.41 × 14,788.41
  4. Step 4: Simplify right side
    9,334.88x = 218,696,959.42
  5. Step 5: Solve for x
    x = 218,696,959.42/9,334.88
  6. Step 6: Final answer
    x = 23,427.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.