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Finding the Third Proportional to 7,643 and 16,726

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Solution

The third proportional to 7,643 and 16,726 is: 36,603.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643 : 16,726 = 16,726 : x
  2. Step 2: Convert to fraction form
    7,643/16,726 = 16,726/x
  3. Step 3: Cross multiply
    7,643x = 16,726 × 16,726
  4. Step 4: Simplify right side
    7,643x = 279,759,076
  5. Step 5: Solve for x
    x = 279,759,076/7,643
  6. Step 6: Final answer
    x = 36,603.31

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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.