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Finding the Third Proportional to 15,595.50 and 32,109

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Solution

The third proportional to 15,595.50 and 32,109 is: 66,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,595.50 : 32,109 = 32,109 : x
  2. Step 2: Convert to fraction form
    15,595.50/32,109 = 32,109/x
  3. Step 3: Cross multiply
    15,595.50x = 32,109 × 32,109
  4. Step 4: Simplify right side
    15,595.50x = 1,030,987,881
  5. Step 5: Solve for x
    x = 1,030,987,881/15,595.50
  6. Step 6: Final answer
    x = 66,108.04

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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.