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Finding the Third Proportional to 16,206.75 and 23,689.13

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Solution

The third proportional to 16,206.75 and 23,689.13 is: 34,625.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.75 : 23,689.13 = 23,689.13 : x
  2. Step 2: Convert to fraction form
    16,206.75/23,689.13 = 23,689.13/x
  3. Step 3: Cross multiply
    16,206.75x = 23,689.13 × 23,689.13
  4. Step 4: Simplify right side
    16,206.75x = 561,174,643.27
  5. Step 5: Solve for x
    x = 561,174,643.27/16,206.75
  6. Step 6: Final answer
    x = 34,625.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.