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Finding the Third Proportional to 22,964 and 30,986

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Solution

The third proportional to 22,964 and 30,986 is: 41,810.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964 : 30,986 = 30,986 : x
  2. Step 2: Convert to fraction form
    22,964/30,986 = 30,986/x
  3. Step 3: Cross multiply
    22,964x = 30,986 × 30,986
  4. Step 4: Simplify right side
    22,964x = 960,132,196
  5. Step 5: Solve for x
    x = 960,132,196/22,964
  6. Step 6: Final answer
    x = 41,810.32

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.