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Finding the Third Proportional to 9,495 and 22,421.25

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Solution

The third proportional to 9,495 and 22,421.25 is: 52,944.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,495 : 22,421.25 = 22,421.25 : x
  2. Step 2: Convert to fraction form
    9,495/22,421.25 = 22,421.25/x
  3. Step 3: Cross multiply
    9,495x = 22,421.25 × 22,421.25
  4. Step 4: Simplify right side
    9,495x = 502,712,451.56
  5. Step 5: Solve for x
    x = 502,712,451.56/9,495
  6. Step 6: Final answer
    x = 52,944.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.