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Finding the Third Proportional to 40,010 and 86,356

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Solution

The third proportional to 40,010 and 86,356 is: 186,387.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,010 : 86,356 = 86,356 : x
  2. Step 2: Convert to fraction form
    40,010/86,356 = 86,356/x
  3. Step 3: Cross multiply
    40,010x = 86,356 × 86,356
  4. Step 4: Simplify right side
    40,010x = 7,457,358,736
  5. Step 5: Solve for x
    x = 7,457,358,736/40,010
  6. Step 6: Final answer
    x = 186,387.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.