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Finding the Third Proportional to 5,269 and 7,070.50

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Solution

The third proportional to 5,269 and 7,070.50 is: 9,487.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269 : 7,070.50 = 7,070.50 : x
  2. Step 2: Convert to fraction form
    5,269/7,070.50 = 7,070.50/x
  3. Step 3: Cross multiply
    5,269x = 7,070.50 × 7,070.50
  4. Step 4: Simplify right side
    5,269x = 49,991,970.25
  5. Step 5: Solve for x
    x = 49,991,970.25/5,269
  6. Step 6: Final answer
    x = 9,487.94

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.