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Finding the Third Proportional to 14,282 and 29,260

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Solution

The third proportional to 14,282 and 29,260 is: 59,945.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282 : 29,260 = 29,260 : x
  2. Step 2: Convert to fraction form
    14,282/29,260 = 29,260/x
  3. Step 3: Cross multiply
    14,282x = 29,260 × 29,260
  4. Step 4: Simplify right side
    14,282x = 856,147,600
  5. Step 5: Solve for x
    x = 856,147,600/14,282
  6. Step 6: Final answer
    x = 59,945.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.