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Finding the Third Proportional to 37,018.13 and 81,064.13

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Solution

The third proportional to 37,018.13 and 81,064.13 is: 177,518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,018.13 : 81,064.13 = 81,064.13 : x
  2. Step 2: Convert to fraction form
    37,018.13/81,064.13 = 81,064.13/x
  3. Step 3: Cross multiply
    37,018.13x = 81,064.13 × 81,064.13
  4. Step 4: Simplify right side
    37,018.13x = 6,571,392,362.02
  5. Step 5: Solve for x
    x = 6,571,392,362.02/37,018.13
  6. Step 6: Final answer
    x = 177,518.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.