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Finding the Third Proportional to 16,012.13 and 27,298.13

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Solution

The third proportional to 16,012.13 and 27,298.13 is: 46,538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,012.13 : 27,298.13 = 27,298.13 : x
  2. Step 2: Convert to fraction form
    16,012.13/27,298.13 = 27,298.13/x
  3. Step 3: Cross multiply
    16,012.13x = 27,298.13 × 27,298.13
  4. Step 4: Simplify right side
    16,012.13x = 745,187,628.52
  5. Step 5: Solve for x
    x = 745,187,628.52/16,012.13
  6. Step 6: Final answer
    x = 46,538.96

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.