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Finding the Third Proportional to 10,985.50 and 17,024.25

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Solution

The third proportional to 10,985.50 and 17,024.25 is: 26,382.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,985.50 : 17,024.25 = 17,024.25 : x
  2. Step 2: Convert to fraction form
    10,985.50/17,024.25 = 17,024.25/x
  3. Step 3: Cross multiply
    10,985.50x = 17,024.25 × 17,024.25
  4. Step 4: Simplify right side
    10,985.50x = 289,825,088.06
  5. Step 5: Solve for x
    x = 289,825,088.06/10,985.50
  6. Step 6: Final answer
    x = 26,382.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.