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Finding the Third Proportional to 9,780.19 and 14,717.06

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Solution

The third proportional to 9,780.19 and 14,717.06 is: 22,145.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.19 : 14,717.06 = 14,717.06 : x
  2. Step 2: Convert to fraction form
    9,780.19/14,717.06 = 14,717.06/x
  3. Step 3: Cross multiply
    9,780.19x = 14,717.06 × 14,717.06
  4. Step 4: Simplify right side
    9,780.19x = 216,591,928.63
  5. Step 5: Solve for x
    x = 216,591,928.63/9,780.19
  6. Step 6: Final answer
    x = 22,145.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.