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Finding the Third Proportional to 15,604 and 32,503.75

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Solution

The third proportional to 15,604 and 32,503.75 is: 67,706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,604 : 32,503.75 = 32,503.75 : x
  2. Step 2: Convert to fraction form
    15,604/32,503.75 = 32,503.75/x
  3. Step 3: Cross multiply
    15,604x = 32,503.75 × 32,503.75
  4. Step 4: Simplify right side
    15,604x = 1,056,493,764.06
  5. Step 5: Solve for x
    x = 1,056,493,764.06/15,604
  6. Step 6: Final answer
    x = 67,706.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.