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Finding the Third Proportional to 7,713 and 16,899.19

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Solution

The third proportional to 7,713 and 16,899.19 is: 37,026.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713 : 16,899.19 = 16,899.19 : x
  2. Step 2: Convert to fraction form
    7,713/16,899.19 = 16,899.19/x
  3. Step 3: Cross multiply
    7,713x = 16,899.19 × 16,899.19
  4. Step 4: Simplify right side
    7,713x = 285,582,538.16
  5. Step 5: Solve for x
    x = 285,582,538.16/7,713
  6. Step 6: Final answer
    x = 37,026.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.