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Finding the Third Proportional to 9,912 and 23,220

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Solution

The third proportional to 9,912 and 23,220 is: 54,395.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912 : 23,220 = 23,220 : x
  2. Step 2: Convert to fraction form
    9,912/23,220 = 23,220/x
  3. Step 3: Cross multiply
    9,912x = 23,220 × 23,220
  4. Step 4: Simplify right side
    9,912x = 539,168,400
  5. Step 5: Solve for x
    x = 539,168,400/9,912
  6. Step 6: Final answer
    x = 54,395.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.