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Finding the Third Proportional to 7,269 and 15,967.50

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Solution

The third proportional to 7,269 and 15,967.50 is: 35,075.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,269 : 15,967.50 = 15,967.50 : x
  2. Step 2: Convert to fraction form
    7,269/15,967.50 = 15,967.50/x
  3. Step 3: Cross multiply
    7,269x = 15,967.50 × 15,967.50
  4. Step 4: Simplify right side
    7,269x = 254,961,056.25
  5. Step 5: Solve for x
    x = 254,961,056.25/7,269
  6. Step 6: Final answer
    x = 35,075.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.