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Finding the Third Proportional to 22,617 and 32,464.13

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Solution

The third proportional to 22,617 and 32,464.13 is: 46,598.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,617 : 32,464.13 = 32,464.13 : x
  2. Step 2: Convert to fraction form
    22,617/32,464.13 = 32,464.13/x
  3. Step 3: Cross multiply
    22,617x = 32,464.13 × 32,464.13
  4. Step 4: Simplify right side
    22,617x = 1,053,919,412.02
  5. Step 5: Solve for x
    x = 1,053,919,412.02/22,617
  6. Step 6: Final answer
    x = 46,598.55

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.