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Finding the Third Proportional to 14,505.47 and 19,571.20

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Solution

The third proportional to 14,505.47 and 19,571.20 is: 26,406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,505.47 : 19,571.20 = 19,571.20 : x
  2. Step 2: Convert to fraction form
    14,505.47/19,571.20 = 19,571.20/x
  3. Step 3: Cross multiply
    14,505.47x = 19,571.20 × 19,571.20
  4. Step 4: Simplify right side
    14,505.47x = 383,031,991.76
  5. Step 5: Solve for x
    x = 383,031,991.76/14,505.47
  6. Step 6: Final answer
    x = 26,406.04

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.