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Finding the Third Proportional to 42,945.75 and 64,219.50

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Solution

The third proportional to 42,945.75 and 64,219.50 is: 96,031.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,945.75 : 64,219.50 = 64,219.50 : x
  2. Step 2: Convert to fraction form
    42,945.75/64,219.50 = 64,219.50/x
  3. Step 3: Cross multiply
    42,945.75x = 64,219.50 × 64,219.50
  4. Step 4: Simplify right side
    42,945.75x = 4,124,144,180.25
  5. Step 5: Solve for x
    x = 4,124,144,180.25/42,945.75
  6. Step 6: Final answer
    x = 96,031.49

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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.