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Finding the Third Proportional to 15,562 and 22,803

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Solution

The third proportional to 15,562 and 22,803 is: 33,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,562 : 22,803 = 22,803 : x
  2. Step 2: Convert to fraction form
    15,562/22,803 = 22,803/x
  3. Step 3: Cross multiply
    15,562x = 22,803 × 22,803
  4. Step 4: Simplify right side
    15,562x = 519,976,809
  5. Step 5: Solve for x
    x = 519,976,809/15,562
  6. Step 6: Final answer
    x = 33,413.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.