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Finding the Third Proportional to 14,548 and 23,074

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Solution

The third proportional to 14,548 and 23,074 is: 36,596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,548 : 23,074 = 23,074 : x
  2. Step 2: Convert to fraction form
    14,548/23,074 = 23,074/x
  3. Step 3: Cross multiply
    14,548x = 23,074 × 23,074
  4. Step 4: Simplify right side
    14,548x = 532,409,476
  5. Step 5: Solve for x
    x = 532,409,476/14,548
  6. Step 6: Final answer
    x = 36,596.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.