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Finding the Third Proportional to 51,464 and 69,508

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Solution

The third proportional to 51,464 and 69,508 is: 93,878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,464 : 69,508 = 69,508 : x
  2. Step 2: Convert to fraction form
    51,464/69,508 = 69,508/x
  3. Step 3: Cross multiply
    51,464x = 69,508 × 69,508
  4. Step 4: Simplify right side
    51,464x = 4,831,362,064
  5. Step 5: Solve for x
    x = 4,831,362,064/51,464
  6. Step 6: Final answer
    x = 93,878.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.