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Finding the Third Proportional to 7,734 and 10,335

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Solution

The third proportional to 7,734 and 10,335 is: 13,810.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734 : 10,335 = 10,335 : x
  2. Step 2: Convert to fraction form
    7,734/10,335 = 10,335/x
  3. Step 3: Cross multiply
    7,734x = 10,335 × 10,335
  4. Step 4: Simplify right side
    7,734x = 106,812,225
  5. Step 5: Solve for x
    x = 106,812,225/7,734
  6. Step 6: Final answer
    x = 13,810.74

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.