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Finding the Third Proportional to 51,484.50 and 77,772.75

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Solution

The third proportional to 51,484.50 and 77,772.75 is: 117,483.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,484.50 : 77,772.75 = 77,772.75 : x
  2. Step 2: Convert to fraction form
    51,484.50/77,772.75 = 77,772.75/x
  3. Step 3: Cross multiply
    51,484.50x = 77,772.75 × 77,772.75
  4. Step 4: Simplify right side
    51,484.50x = 6,048,600,642.56
  5. Step 5: Solve for x
    x = 6,048,600,642.56/51,484.50
  6. Step 6: Final answer
    x = 117,483.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.