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Finding the Third Proportional to 10,362.94 and 16,683.47

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Solution

The third proportional to 10,362.94 and 16,683.47 is: 26,859.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.94 : 16,683.47 = 16,683.47 : x
  2. Step 2: Convert to fraction form
    10,362.94/16,683.47 = 16,683.47/x
  3. Step 3: Cross multiply
    10,362.94x = 16,683.47 × 16,683.47
  4. Step 4: Simplify right side
    10,362.94x = 278,338,129.53
  5. Step 5: Solve for x
    x = 278,338,129.53/10,362.94
  6. Step 6: Final answer
    x = 26,859.00

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.