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Finding the Third Proportional to 23,036 and 34,546

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Solution

The third proportional to 23,036 and 34,546 is: 51,807.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,036 : 34,546 = 34,546 : x
  2. Step 2: Convert to fraction form
    23,036/34,546 = 34,546/x
  3. Step 3: Cross multiply
    23,036x = 34,546 × 34,546
  4. Step 4: Simplify right side
    23,036x = 1,193,426,116
  5. Step 5: Solve for x
    x = 1,193,426,116/23,036
  6. Step 6: Final answer
    x = 51,807.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.