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Finding the Third Proportional to 10,623 and 15,558

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Solution

The third proportional to 10,623 and 15,558 is: 22,785.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,623 : 15,558 = 15,558 : x
  2. Step 2: Convert to fraction form
    10,623/15,558 = 15,558/x
  3. Step 3: Cross multiply
    10,623x = 15,558 × 15,558
  4. Step 4: Simplify right side
    10,623x = 242,051,364
  5. Step 5: Solve for x
    x = 242,051,364/10,623
  6. Step 6: Final answer
    x = 22,785.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.