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Finding the Third Proportional to 15,641 and 22,915

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Solution

The third proportional to 15,641 and 22,915 is: 33,571.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,641 : 22,915 = 22,915 : x
  2. Step 2: Convert to fraction form
    15,641/22,915 = 22,915/x
  3. Step 3: Cross multiply
    15,641x = 22,915 × 22,915
  4. Step 4: Simplify right side
    15,641x = 525,097,225
  5. Step 5: Solve for x
    x = 525,097,225/15,641
  6. Step 6: Final answer
    x = 33,571.84

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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.