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Finding the Third Proportional to 10,943.50 and 26,384.25

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Solution

The third proportional to 10,943.50 and 26,384.25 is: 63,611.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,943.50 : 26,384.25 = 26,384.25 : x
  2. Step 2: Convert to fraction form
    10,943.50/26,384.25 = 26,384.25/x
  3. Step 3: Cross multiply
    10,943.50x = 26,384.25 × 26,384.25
  4. Step 4: Simplify right side
    10,943.50x = 696,128,648.06
  5. Step 5: Solve for x
    x = 696,128,648.06/10,943.50
  6. Step 6: Final answer
    x = 63,611.15

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.