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Finding the Third Proportional to 22,170 and 32,428.50

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Solution

The third proportional to 22,170 and 32,428.50 is: 47,433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,170 : 32,428.50 = 32,428.50 : x
  2. Step 2: Convert to fraction form
    22,170/32,428.50 = 32,428.50/x
  3. Step 3: Cross multiply
    22,170x = 32,428.50 × 32,428.50
  4. Step 4: Simplify right side
    22,170x = 1,051,607,612.25
  5. Step 5: Solve for x
    x = 1,051,607,612.25/22,170
  6. Step 6: Final answer
    x = 47,433.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.