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Finding the Third Proportional to 47,668.50 and 70,042.50

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Solution

The third proportional to 47,668.50 and 70,042.50 is: 102,918.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,668.50 : 70,042.50 = 70,042.50 : x
  2. Step 2: Convert to fraction form
    47,668.50/70,042.50 = 70,042.50/x
  3. Step 3: Cross multiply
    47,668.50x = 70,042.50 × 70,042.50
  4. Step 4: Simplify right side
    47,668.50x = 4,905,951,806.25
  5. Step 5: Solve for x
    x = 4,905,951,806.25/47,668.50
  6. Step 6: Final answer
    x = 102,918.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.