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Finding the Third Proportional to 23,643 and 35,955

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Solution

The third proportional to 23,643 and 35,955 is: 54,678.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,643 : 35,955 = 35,955 : x
  2. Step 2: Convert to fraction form
    23,643/35,955 = 35,955/x
  3. Step 3: Cross multiply
    23,643x = 35,955 × 35,955
  4. Step 4: Simplify right side
    23,643x = 1,292,762,025
  5. Step 5: Solve for x
    x = 1,292,762,025/23,643
  6. Step 6: Final answer
    x = 54,678.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.