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Finding the Third Proportional to 13,737.09 and 21,182.77

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Solution

The third proportional to 13,737.09 and 21,182.77 is: 32,664.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.09 : 21,182.77 = 21,182.77 : x
  2. Step 2: Convert to fraction form
    13,737.09/21,182.77 = 21,182.77/x
  3. Step 3: Cross multiply
    13,737.09x = 21,182.77 × 21,182.77
  4. Step 4: Simplify right side
    13,737.09x = 448,709,559.52
  5. Step 5: Solve for x
    x = 448,709,559.52/13,737.09
  6. Step 6: Final answer
    x = 32,664.08

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.