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Finding the Third Proportional to 20,314 and 32,440

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Solution

The third proportional to 20,314 and 32,440 is: 51,804.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,314 : 32,440 = 32,440 : x
  2. Step 2: Convert to fraction form
    20,314/32,440 = 32,440/x
  3. Step 3: Cross multiply
    20,314x = 32,440 × 32,440
  4. Step 4: Simplify right side
    20,314x = 1,052,353,600
  5. Step 5: Solve for x
    x = 1,052,353,600/20,314
  6. Step 6: Final answer
    x = 51,804.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.