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Finding the Third Proportional to 4,654.13 and 10,214.44

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Solution

The third proportional to 4,654.13 and 10,214.44 is: 22,417.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.13 : 10,214.44 = 10,214.44 : x
  2. Step 2: Convert to fraction form
    4,654.13/10,214.44 = 10,214.44/x
  3. Step 3: Cross multiply
    4,654.13x = 10,214.44 × 10,214.44
  4. Step 4: Simplify right side
    4,654.13x = 104,334,733.44
  5. Step 5: Solve for x
    x = 104,334,733.44/4,654.13
  6. Step 6: Final answer
    x = 22,417.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.