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Finding the Third Proportional to 17,487 and 26,329.50

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Solution

The third proportional to 17,487 and 26,329.50 is: 39,643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,487 : 26,329.50 = 26,329.50 : x
  2. Step 2: Convert to fraction form
    17,487/26,329.50 = 26,329.50/x
  3. Step 3: Cross multiply
    17,487x = 26,329.50 × 26,329.50
  4. Step 4: Simplify right side
    17,487x = 693,242,570.25
  5. Step 5: Solve for x
    x = 693,242,570.25/17,487
  6. Step 6: Final answer
    x = 39,643.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.