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Finding the Third Proportional to 10,594.13 and 14,817.94

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Solution

The third proportional to 10,594.13 and 14,817.94 is: 20,725.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.13 : 14,817.94 = 14,817.94 : x
  2. Step 2: Convert to fraction form
    10,594.13/14,817.94 = 14,817.94/x
  3. Step 3: Cross multiply
    10,594.13x = 14,817.94 × 14,817.94
  4. Step 4: Simplify right side
    10,594.13x = 219,571,271.75
  5. Step 5: Solve for x
    x = 219,571,271.75/10,594.13
  6. Step 6: Final answer
    x = 20,725.76

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.