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Finding the Third Proportional to 16,047.84 and 34,633.13

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Solution

The third proportional to 16,047.84 and 34,633.13 is: 74,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,047.84 : 34,633.13 = 34,633.13 : x
  2. Step 2: Convert to fraction form
    16,047.84/34,633.13 = 34,633.13/x
  3. Step 3: Cross multiply
    16,047.84x = 34,633.13 × 34,633.13
  4. Step 4: Simplify right side
    16,047.84x = 1,199,453,347.27
  5. Step 5: Solve for x
    x = 1,199,453,347.27/16,047.84
  6. Step 6: Final answer
    x = 74,742.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.