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Finding the Third Proportional to 20,304 and 32,423.63

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Solution

The third proportional to 20,304 and 32,423.63 is: 51,777.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,304 : 32,423.63 = 32,423.63 : x
  2. Step 2: Convert to fraction form
    20,304/32,423.63 = 32,423.63/x
  3. Step 3: Cross multiply
    20,304x = 32,423.63 × 32,423.63
  4. Step 4: Simplify right side
    20,304x = 1,051,291,458.14
  5. Step 5: Solve for x
    x = 1,051,291,458.14/20,304
  6. Step 6: Final answer
    x = 51,777.55

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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.