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Finding the Third Proportional to 22,518 and 32,435.44

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Solution

The third proportional to 22,518 and 32,435.44 is: 46,720.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,518 : 32,435.44 = 32,435.44 : x
  2. Step 2: Convert to fraction form
    22,518/32,435.44 = 32,435.44/x
  3. Step 3: Cross multiply
    22,518x = 32,435.44 × 32,435.44
  4. Step 4: Simplify right side
    22,518x = 1,052,057,605.82
  5. Step 5: Solve for x
    x = 1,052,057,605.82/22,518
  6. Step 6: Final answer
    x = 46,720.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.