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Finding the Third Proportional to 14,786 and 32,033

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Solution

The third proportional to 14,786 and 32,033 is: 69,397.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,786 : 32,033 = 32,033 : x
  2. Step 2: Convert to fraction form
    14,786/32,033 = 32,033/x
  3. Step 3: Cross multiply
    14,786x = 32,033 × 32,033
  4. Step 4: Simplify right side
    14,786x = 1,026,113,089
  5. Step 5: Solve for x
    x = 1,026,113,089/14,786
  6. Step 6: Final answer
    x = 69,397.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.