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Finding the Third Proportional to 30,877.50 and 44,614.50

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Solution

The third proportional to 30,877.50 and 44,614.50 is: 64,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,877.50 : 44,614.50 = 44,614.50 : x
  2. Step 2: Convert to fraction form
    30,877.50/44,614.50 = 44,614.50/x
  3. Step 3: Cross multiply
    30,877.50x = 44,614.50 × 44,614.50
  4. Step 4: Simplify right side
    30,877.50x = 1,990,453,610.25
  5. Step 5: Solve for x
    x = 1,990,453,610.25/30,877.50
  6. Step 6: Final answer
    x = 64,462.91

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.