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Finding the Third Proportional to 14,991.75 and 21,595.50

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Solution

The third proportional to 14,991.75 and 21,595.50 is: 31,108.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,991.75 : 21,595.50 = 21,595.50 : x
  2. Step 2: Convert to fraction form
    14,991.75/21,595.50 = 21,595.50/x
  3. Step 3: Cross multiply
    14,991.75x = 21,595.50 × 21,595.50
  4. Step 4: Simplify right side
    14,991.75x = 466,365,620.25
  5. Step 5: Solve for x
    x = 466,365,620.25/14,991.75
  6. Step 6: Final answer
    x = 31,108.15

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.