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Finding the Third Proportional to 32,865 and 53,660.25

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Solution

The third proportional to 32,865 and 53,660.25 is: 87,613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,865 : 53,660.25 = 53,660.25 : x
  2. Step 2: Convert to fraction form
    32,865/53,660.25 = 53,660.25/x
  3. Step 3: Cross multiply
    32,865x = 53,660.25 × 53,660.25
  4. Step 4: Simplify right side
    32,865x = 2,879,422,430.06
  5. Step 5: Solve for x
    x = 2,879,422,430.06/32,865
  6. Step 6: Final answer
    x = 87,613.64

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.