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Finding the Third Proportional to 10,421.44 and 22,484.25

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Solution

The third proportional to 10,421.44 and 22,484.25 is: 48,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.44 : 22,484.25 = 22,484.25 : x
  2. Step 2: Convert to fraction form
    10,421.44/22,484.25 = 22,484.25/x
  3. Step 3: Cross multiply
    10,421.44x = 22,484.25 × 22,484.25
  4. Step 4: Simplify right side
    10,421.44x = 505,541,498.06
  5. Step 5: Solve for x
    x = 505,541,498.06/10,421.44
  6. Step 6: Final answer
    x = 48,509.77

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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.