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Finding the Third Proportional to 10,403 and 24,558

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Solution

The third proportional to 10,403 and 24,558 is: 57,973.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403 : 24,558 = 24,558 : x
  2. Step 2: Convert to fraction form
    10,403/24,558 = 24,558/x
  3. Step 3: Cross multiply
    10,403x = 24,558 × 24,558
  4. Step 4: Simplify right side
    10,403x = 603,095,364
  5. Step 5: Solve for x
    x = 603,095,364/10,403
  6. Step 6: Final answer
    x = 57,973.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.