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Finding the Third Proportional to 14,290 and 21,350

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Solution

The third proportional to 14,290 and 21,350 is: 31,898.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,290 : 21,350 = 21,350 : x
  2. Step 2: Convert to fraction form
    14,290/21,350 = 21,350/x
  3. Step 3: Cross multiply
    14,290x = 21,350 × 21,350
  4. Step 4: Simplify right side
    14,290x = 455,822,500
  5. Step 5: Solve for x
    x = 455,822,500/14,290
  6. Step 6: Final answer
    x = 31,898.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.