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Finding the Third Proportional to 51,459.75 and 77,331.38

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Solution

The third proportional to 51,459.75 and 77,331.38 is: 116,210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,459.75 : 77,331.38 = 77,331.38 : x
  2. Step 2: Convert to fraction form
    51,459.75/77,331.38 = 77,331.38/x
  3. Step 3: Cross multiply
    51,459.75x = 77,331.38 × 77,331.38
  4. Step 4: Simplify right side
    51,459.75x = 5,980,141,559.39
  5. Step 5: Solve for x
    x = 5,980,141,559.39/51,459.75
  6. Step 6: Final answer
    x = 116,210.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.