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Finding the Third Proportional to 17,302 and 26,731.50

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Solution

The third proportional to 17,302 and 26,731.50 is: 41,300.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,302 : 26,731.50 = 26,731.50 : x
  2. Step 2: Convert to fraction form
    17,302/26,731.50 = 26,731.50/x
  3. Step 3: Cross multiply
    17,302x = 26,731.50 × 26,731.50
  4. Step 4: Simplify right side
    17,302x = 714,573,092.25
  5. Step 5: Solve for x
    x = 714,573,092.25/17,302
  6. Step 6: Final answer
    x = 41,300.03

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.