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Finding the Third Proportional to 17,282.50 and 40,470

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Solution

The third proportional to 17,282.50 and 40,470 is: 94,767.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,282.50 : 40,470 = 40,470 : x
  2. Step 2: Convert to fraction form
    17,282.50/40,470 = 40,470/x
  3. Step 3: Cross multiply
    17,282.50x = 40,470 × 40,470
  4. Step 4: Simplify right side
    17,282.50x = 1,637,820,900
  5. Step 5: Solve for x
    x = 1,637,820,900/17,282.50
  6. Step 6: Final answer
    x = 94,767.59

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.