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Finding the Third Proportional to 51,417.28 and 77,672.67

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Solution

The third proportional to 51,417.28 and 77,672.67 is: 117,334.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,417.28 : 77,672.67 = 77,672.67 : x
  2. Step 2: Convert to fraction form
    51,417.28/77,672.67 = 77,672.67/x
  3. Step 3: Cross multiply
    51,417.28x = 77,672.67 × 77,672.67
  4. Step 4: Simplify right side
    51,417.28x = 6,033,043,956.20
  5. Step 5: Solve for x
    x = 6,033,043,956.20/51,417.28
  6. Step 6: Final answer
    x = 117,334.95

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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.