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Finding the Third Proportional to 51,986.81 and 74,289.66

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Solution

The third proportional to 51,986.81 and 74,289.66 is: 106,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,986.81 : 74,289.66 = 74,289.66 : x
  2. Step 2: Convert to fraction form
    51,986.81/74,289.66 = 74,289.66/x
  3. Step 3: Cross multiply
    51,986.81x = 74,289.66 × 74,289.66
  4. Step 4: Simplify right side
    51,986.81x = 5,518,953,025.74
  5. Step 5: Solve for x
    x = 5,518,953,025.74/51,986.81
  6. Step 6: Final answer
    x = 106,160.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.