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Finding the Third Proportional to 15,594.75 and 32,107.50

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Solution

The third proportional to 15,594.75 and 32,107.50 is: 66,105.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,594.75 : 32,107.50 = 32,107.50 : x
  2. Step 2: Convert to fraction form
    15,594.75/32,107.50 = 32,107.50/x
  3. Step 3: Cross multiply
    15,594.75x = 32,107.50 × 32,107.50
  4. Step 4: Simplify right side
    15,594.75x = 1,030,891,556.25
  5. Step 5: Solve for x
    x = 1,030,891,556.25/15,594.75
  6. Step 6: Final answer
    x = 66,105.04

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.