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Finding the Third Proportional to 13,294 and 31,417

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Solution

The third proportional to 13,294 and 31,417 is: 74,246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294 : 31,417 = 31,417 : x
  2. Step 2: Convert to fraction form
    13,294/31,417 = 31,417/x
  3. Step 3: Cross multiply
    13,294x = 31,417 × 31,417
  4. Step 4: Simplify right side
    13,294x = 987,027,889
  5. Step 5: Solve for x
    x = 987,027,889/13,294
  6. Step 6: Final answer
    x = 74,246.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.