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Finding the Third Proportional to 9,464 and 14,342

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Solution

The third proportional to 9,464 and 14,342 is: 21,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464 : 14,342 = 14,342 : x
  2. Step 2: Convert to fraction form
    9,464/14,342 = 14,342/x
  3. Step 3: Cross multiply
    9,464x = 14,342 × 14,342
  4. Step 4: Simplify right side
    9,464x = 205,692,964
  5. Step 5: Solve for x
    x = 205,692,964/9,464
  6. Step 6: Final answer
    x = 21,734.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.