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Finding the Third Proportional to 24,222 and 32,700

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Solution

The third proportional to 24,222 and 32,700 is: 44,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,222 : 32,700 = 32,700 : x
  2. Step 2: Convert to fraction form
    24,222/32,700 = 32,700/x
  3. Step 3: Cross multiply
    24,222x = 32,700 × 32,700
  4. Step 4: Simplify right side
    24,222x = 1,069,290,000
  5. Step 5: Solve for x
    x = 1,069,290,000/24,222
  6. Step 6: Final answer
    x = 44,145.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.