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Finding the Third Proportional to 14,215 and 22,300

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Solution

The third proportional to 14,215 and 22,300 is: 34,983.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,215 : 22,300 = 22,300 : x
  2. Step 2: Convert to fraction form
    14,215/22,300 = 22,300/x
  3. Step 3: Cross multiply
    14,215x = 22,300 × 22,300
  4. Step 4: Simplify right side
    14,215x = 497,290,000
  5. Step 5: Solve for x
    x = 497,290,000/14,215
  6. Step 6: Final answer
    x = 34,983.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.