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Finding the Third Proportional to 19,580.50 and 38,175

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Solution

The third proportional to 19,580.50 and 38,175 is: 74,427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,580.50 : 38,175 = 38,175 : x
  2. Step 2: Convert to fraction form
    19,580.50/38,175 = 38,175/x
  3. Step 3: Cross multiply
    19,580.50x = 38,175 × 38,175
  4. Step 4: Simplify right side
    19,580.50x = 1,457,330,625
  5. Step 5: Solve for x
    x = 1,457,330,625/19,580.50
  6. Step 6: Final answer
    x = 74,427.65

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.