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Finding the Third Proportional to 14,786 and 32,333

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Solution

The third proportional to 14,786 and 32,333 is: 70,703.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,786 : 32,333 = 32,333 : x
  2. Step 2: Convert to fraction form
    14,786/32,333 = 32,333/x
  3. Step 3: Cross multiply
    14,786x = 32,333 × 32,333
  4. Step 4: Simplify right side
    14,786x = 1,045,422,889
  5. Step 5: Solve for x
    x = 1,045,422,889/14,786
  6. Step 6: Final answer
    x = 70,703.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.