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Finding the Third Proportional to 23,417.72 and 35,713.13

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Solution

The third proportional to 23,417.72 and 35,713.13 is: 54,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,417.72 : 35,713.13 = 35,713.13 : x
  2. Step 2: Convert to fraction form
    23,417.72/35,713.13 = 35,713.13/x
  3. Step 3: Cross multiply
    23,417.72x = 35,713.13 × 35,713.13
  4. Step 4: Simplify right side
    23,417.72x = 1,275,427,297.27
  5. Step 5: Solve for x
    x = 1,275,427,297.27/23,417.72
  6. Step 6: Final answer
    x = 54,464.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.