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Finding the Third Proportional to 4,635.56 and 10,837.13

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Solution

The third proportional to 4,635.56 and 10,837.13 is: 25,335.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.56 : 10,837.13 = 10,837.13 : x
  2. Step 2: Convert to fraction form
    4,635.56/10,837.13 = 10,837.13/x
  3. Step 3: Cross multiply
    4,635.56x = 10,837.13 × 10,837.13
  4. Step 4: Simplify right side
    4,635.56x = 117,443,278.27
  5. Step 5: Solve for x
    x = 117,443,278.27/4,635.56
  6. Step 6: Final answer
    x = 25,335.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.