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Finding the Third Proportional to 30,331.13 and 65,053.13

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Solution

The third proportional to 30,331.13 and 65,053.13 is: 139,523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,331.13 : 65,053.13 = 65,053.13 : x
  2. Step 2: Convert to fraction form
    30,331.13/65,053.13 = 65,053.13/x
  3. Step 3: Cross multiply
    30,331.13x = 65,053.13 × 65,053.13
  4. Step 4: Simplify right side
    30,331.13x = 4,231,909,072.27
  5. Step 5: Solve for x
    x = 4,231,909,072.27/30,331.13
  6. Step 6: Final answer
    x = 139,523.64

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Why These Related Problems?

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