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Finding the Third Proportional to 7,859 and 9,506

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Solution

The third proportional to 7,859 and 9,506 is: 11,498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859 : 9,506 = 9,506 : x
  2. Step 2: Convert to fraction form
    7,859/9,506 = 9,506/x
  3. Step 3: Cross multiply
    7,859x = 9,506 × 9,506
  4. Step 4: Simplify right side
    7,859x = 90,364,036
  5. Step 5: Solve for x
    x = 90,364,036/7,859
  6. Step 6: Final answer
    x = 11,498.16

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.