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Finding the Third Proportional to 23,566 and 34,557

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Solution

The third proportional to 23,566 and 34,557 is: 50,674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,566 : 34,557 = 34,557 : x
  2. Step 2: Convert to fraction form
    23,566/34,557 = 34,557/x
  3. Step 3: Cross multiply
    23,566x = 34,557 × 34,557
  4. Step 4: Simplify right side
    23,566x = 1,194,186,249
  5. Step 5: Solve for x
    x = 1,194,186,249/23,566
  6. Step 6: Final answer
    x = 50,674.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.