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Finding the Third Proportional to 32,690 and 70,563

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Solution

The third proportional to 32,690 and 70,563 is: 152,313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,690 : 70,563 = 70,563 : x
  2. Step 2: Convert to fraction form
    32,690/70,563 = 70,563/x
  3. Step 3: Cross multiply
    32,690x = 70,563 × 70,563
  4. Step 4: Simplify right side
    32,690x = 4,979,136,969
  5. Step 5: Solve for x
    x = 4,979,136,969/32,690
  6. Step 6: Final answer
    x = 152,313.76

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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.