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Finding the Third Proportional to 19,407.50 and 29,677

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Solution

The third proportional to 19,407.50 and 29,677 is: 45,380.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,407.50 : 29,677 = 29,677 : x
  2. Step 2: Convert to fraction form
    19,407.50/29,677 = 29,677/x
  3. Step 3: Cross multiply
    19,407.50x = 29,677 × 29,677
  4. Step 4: Simplify right side
    19,407.50x = 880,724,329
  5. Step 5: Solve for x
    x = 880,724,329/19,407.50
  6. Step 6: Final answer
    x = 45,380.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.