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Finding the Third Proportional to 10,358 and 13,623

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Solution

The third proportional to 10,358 and 13,623 is: 17,917.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358 : 13,623 = 13,623 : x
  2. Step 2: Convert to fraction form
    10,358/13,623 = 13,623/x
  3. Step 3: Cross multiply
    10,358x = 13,623 × 13,623
  4. Step 4: Simplify right side
    10,358x = 185,586,129
  5. Step 5: Solve for x
    x = 185,586,129/10,358
  6. Step 6: Final answer
    x = 17,917.18

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.