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Finding the Third Proportional to 22,964 and 35,308

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Solution

The third proportional to 22,964 and 35,308 is: 54,287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964 : 35,308 = 35,308 : x
  2. Step 2: Convert to fraction form
    22,964/35,308 = 35,308/x
  3. Step 3: Cross multiply
    22,964x = 35,308 × 35,308
  4. Step 4: Simplify right side
    22,964x = 1,246,654,864
  5. Step 5: Solve for x
    x = 1,246,654,864/22,964
  6. Step 6: Final answer
    x = 54,287.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.