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Finding the Third Proportional to 20,853.42 and 44,987.20

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Solution

The third proportional to 20,853.42 and 44,987.20 is: 97,051.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,853.42 : 44,987.20 = 44,987.20 : x
  2. Step 2: Convert to fraction form
    20,853.42/44,987.20 = 44,987.20/x
  3. Step 3: Cross multiply
    20,853.42x = 44,987.20 × 44,987.20
  4. Step 4: Simplify right side
    20,853.42x = 2,023,848,445.01
  5. Step 5: Solve for x
    x = 2,023,848,445.01/20,853.42
  6. Step 6: Final answer
    x = 97,051.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.