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Finding the Third Proportional to 32,723 and 70,627

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Solution

The third proportional to 32,723 and 70,627 is: 152,436.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,723 : 70,627 = 70,627 : x
  2. Step 2: Convert to fraction form
    32,723/70,627 = 70,627/x
  3. Step 3: Cross multiply
    32,723x = 70,627 × 70,627
  4. Step 4: Simplify right side
    32,723x = 4,988,173,129
  5. Step 5: Solve for x
    x = 4,988,173,129/32,723
  6. Step 6: Final answer
    x = 152,436.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.