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Finding the Third Proportional to 53,209.50 and 71,001

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Solution

The third proportional to 53,209.50 and 71,001 is: 94,741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,209.50 : 71,001 = 71,001 : x
  2. Step 2: Convert to fraction form
    53,209.50/71,001 = 71,001/x
  3. Step 3: Cross multiply
    53,209.50x = 71,001 × 71,001
  4. Step 4: Simplify right side
    53,209.50x = 5,041,142,001
  5. Step 5: Solve for x
    x = 5,041,142,001/53,209.50
  6. Step 6: Final answer
    x = 94,741.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.