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Finding the Third Proportional to 9,997 and 15,533.50

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Solution

The third proportional to 9,997 and 15,533.50 is: 24,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997 : 15,533.50 = 15,533.50 : x
  2. Step 2: Convert to fraction form
    9,997/15,533.50 = 15,533.50/x
  3. Step 3: Cross multiply
    9,997x = 15,533.50 × 15,533.50
  4. Step 4: Simplify right side
    9,997x = 241,289,622.25
  5. Step 5: Solve for x
    x = 241,289,622.25/9,997
  6. Step 6: Final answer
    x = 24,136.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.