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Finding the Third Proportional to 14,464 and 31,580

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Solution

The third proportional to 14,464 and 31,580 is: 68,950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464 : 31,580 = 31,580 : x
  2. Step 2: Convert to fraction form
    14,464/31,580 = 31,580/x
  3. Step 3: Cross multiply
    14,464x = 31,580 × 31,580
  4. Step 4: Simplify right side
    14,464x = 997,296,400
  5. Step 5: Solve for x
    x = 997,296,400/14,464
  6. Step 6: Final answer
    x = 68,950.25

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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.