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Finding the Third Proportional to 42,857.50 and 64,244

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Solution

The third proportional to 42,857.50 and 64,244 is: 96,302.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,857.50 : 64,244 = 64,244 : x
  2. Step 2: Convert to fraction form
    42,857.50/64,244 = 64,244/x
  3. Step 3: Cross multiply
    42,857.50x = 64,244 × 64,244
  4. Step 4: Simplify right side
    42,857.50x = 4,127,291,536
  5. Step 5: Solve for x
    x = 4,127,291,536/42,857.50
  6. Step 6: Final answer
    x = 96,302.67

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Why These Related Problems?

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