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Finding the Third Proportional to 13,509.28 and 21,039.75

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Solution

The third proportional to 13,509.28 and 21,039.75 is: 32,767.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.28 : 21,039.75 = 21,039.75 : x
  2. Step 2: Convert to fraction form
    13,509.28/21,039.75 = 21,039.75/x
  3. Step 3: Cross multiply
    13,509.28x = 21,039.75 × 21,039.75
  4. Step 4: Simplify right side
    13,509.28x = 442,671,080.06
  5. Step 5: Solve for x
    x = 442,671,080.06/13,509.28
  6. Step 6: Final answer
    x = 32,767.92

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.