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Finding the Third Proportional to 15,069 and 32,646.75

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Solution

The third proportional to 15,069 and 32,646.75 is: 70,728.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,069 : 32,646.75 = 32,646.75 : x
  2. Step 2: Convert to fraction form
    15,069/32,646.75 = 32,646.75/x
  3. Step 3: Cross multiply
    15,069x = 32,646.75 × 32,646.75
  4. Step 4: Simplify right side
    15,069x = 1,065,810,285.56
  5. Step 5: Solve for x
    x = 1,065,810,285.56/15,069
  6. Step 6: Final answer
    x = 70,728.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.