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Finding the Third Proportional to 51,766 and 70,723

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Solution

The third proportional to 51,766 and 70,723 is: 96,622.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,766 : 70,723 = 70,723 : x
  2. Step 2: Convert to fraction form
    51,766/70,723 = 70,723/x
  3. Step 3: Cross multiply
    51,766x = 70,723 × 70,723
  4. Step 4: Simplify right side
    51,766x = 5,001,742,729
  5. Step 5: Solve for x
    x = 5,001,742,729/51,766
  6. Step 6: Final answer
    x = 96,622.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.