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Finding the Third Proportional to 51,489 and 77,496.75

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Solution

The third proportional to 51,489 and 77,496.75 is: 116,641.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,489 : 77,496.75 = 77,496.75 : x
  2. Step 2: Convert to fraction form
    51,489/77,496.75 = 77,496.75/x
  3. Step 3: Cross multiply
    51,489x = 77,496.75 × 77,496.75
  4. Step 4: Simplify right side
    51,489x = 6,005,746,260.56
  5. Step 5: Solve for x
    x = 6,005,746,260.56/51,489
  6. Step 6: Final answer
    x = 116,641.35

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