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Finding the Third Proportional to 51,108.47 and 77,585.34

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Solution

The third proportional to 51,108.47 and 77,585.34 is: 117,778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,108.47 : 77,585.34 = 77,585.34 : x
  2. Step 2: Convert to fraction form
    51,108.47/77,585.34 = 77,585.34/x
  3. Step 3: Cross multiply
    51,108.47x = 77,585.34 × 77,585.34
  4. Step 4: Simplify right side
    51,108.47x = 6,019,485,564.81
  5. Step 5: Solve for x
    x = 6,019,485,564.81/51,108.47
  6. Step 6: Final answer
    x = 117,778.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.