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Finding the Third Proportional to 10,969.17 and 17,803.55

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Solution

The third proportional to 10,969.17 and 17,803.55 is: 28,896.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.17 : 17,803.55 = 17,803.55 : x
  2. Step 2: Convert to fraction form
    10,969.17/17,803.55 = 17,803.55/x
  3. Step 3: Cross multiply
    10,969.17x = 17,803.55 × 17,803.55
  4. Step 4: Simplify right side
    10,969.17x = 316,966,281.33
  5. Step 5: Solve for x
    x = 316,966,281.33/10,969.17
  6. Step 6: Final answer
    x = 28,896.10

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.