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Finding the Third Proportional to 15,004 and 32,317

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Solution

The third proportional to 15,004 and 32,317 is: 69,607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,004 : 32,317 = 32,317 : x
  2. Step 2: Convert to fraction form
    15,004/32,317 = 32,317/x
  3. Step 3: Cross multiply
    15,004x = 32,317 × 32,317
  4. Step 4: Simplify right side
    15,004x = 1,044,388,489
  5. Step 5: Solve for x
    x = 1,044,388,489/15,004
  6. Step 6: Final answer
    x = 69,607.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.