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Finding the Third Proportional to 14,807 and 32,287

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Solution

The third proportional to 14,807 and 32,287 is: 70,402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,807 : 32,287 = 32,287 : x
  2. Step 2: Convert to fraction form
    14,807/32,287 = 32,287/x
  3. Step 3: Cross multiply
    14,807x = 32,287 × 32,287
  4. Step 4: Simplify right side
    14,807x = 1,042,450,369
  5. Step 5: Solve for x
    x = 1,042,450,369/14,807
  6. Step 6: Final answer
    x = 70,402.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.