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Finding the Third Proportional to 28,630.50 and 42,814.13

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Solution

The third proportional to 28,630.50 and 42,814.13 is: 64,024.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,630.50 : 42,814.13 = 42,814.13 : x
  2. Step 2: Convert to fraction form
    28,630.50/42,814.13 = 42,814.13/x
  3. Step 3: Cross multiply
    28,630.50x = 42,814.13 × 42,814.13
  4. Step 4: Simplify right side
    28,630.50x = 1,833,049,299.52
  5. Step 5: Solve for x
    x = 1,833,049,299.52/28,630.50
  6. Step 6: Final answer
    x = 64,024.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.