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Finding the Third Proportional to 29,977.03 and 64,108.41

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Solution

The third proportional to 29,977.03 and 64,108.41 is: 137,101.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,977.03 : 64,108.41 = 64,108.41 : x
  2. Step 2: Convert to fraction form
    29,977.03/64,108.41 = 64,108.41/x
  3. Step 3: Cross multiply
    29,977.03x = 64,108.41 × 64,108.41
  4. Step 4: Simplify right side
    29,977.03x = 4,109,887,751.92
  5. Step 5: Solve for x
    x = 4,109,887,751.92/29,977.03
  6. Step 6: Final answer
    x = 137,101.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.