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Finding the Third Proportional to 51,623 and 69,658

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Solution

The third proportional to 51,623 and 69,658 is: 93,993.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,623 : 69,658 = 69,658 : x
  2. Step 2: Convert to fraction form
    51,623/69,658 = 69,658/x
  3. Step 3: Cross multiply
    51,623x = 69,658 × 69,658
  4. Step 4: Simplify right side
    51,623x = 4,852,236,964
  5. Step 5: Solve for x
    x = 4,852,236,964/51,623
  6. Step 6: Final answer
    x = 93,993.70

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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.