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Finding the Third Proportional to 18,526 and 39,978

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Solution

The third proportional to 18,526 and 39,978 is: 86,270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,526 : 39,978 = 39,978 : x
  2. Step 2: Convert to fraction form
    18,526/39,978 = 39,978/x
  3. Step 3: Cross multiply
    18,526x = 39,978 × 39,978
  4. Step 4: Simplify right side
    18,526x = 1,598,240,484
  5. Step 5: Solve for x
    x = 1,598,240,484/18,526
  6. Step 6: Final answer
    x = 86,270.13

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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.