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Finding the Third Proportional to 14,653 and 30,343

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Solution

The third proportional to 14,653 and 30,343 is: 62,833.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,653 : 30,343 = 30,343 : x
  2. Step 2: Convert to fraction form
    14,653/30,343 = 30,343/x
  3. Step 3: Cross multiply
    14,653x = 30,343 × 30,343
  4. Step 4: Simplify right side
    14,653x = 920,697,649
  5. Step 5: Solve for x
    x = 920,697,649/14,653
  6. Step 6: Final answer
    x = 62,833.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.