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Finding the Third Proportional to 15,321 and 31,007

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Solution

The third proportional to 15,321 and 31,007 is: 62,752.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,321 : 31,007 = 31,007 : x
  2. Step 2: Convert to fraction form
    15,321/31,007 = 31,007/x
  3. Step 3: Cross multiply
    15,321x = 31,007 × 31,007
  4. Step 4: Simplify right side
    15,321x = 961,434,049
  5. Step 5: Solve for x
    x = 961,434,049/15,321
  6. Step 6: Final answer
    x = 62,752.70

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.