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Finding the Third Proportional to 10,510 and 22,993.25

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Solution

The third proportional to 10,510 and 22,993.25 is: 50,303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510 : 22,993.25 = 22,993.25 : x
  2. Step 2: Convert to fraction form
    10,510/22,993.25 = 22,993.25/x
  3. Step 3: Cross multiply
    10,510x = 22,993.25 × 22,993.25
  4. Step 4: Simplify right side
    10,510x = 528,689,545.56
  5. Step 5: Solve for x
    x = 528,689,545.56/10,510
  6. Step 6: Final answer
    x = 50,303.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.