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Finding the Third Proportional to 4,807 and 10,382

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Solution

The third proportional to 4,807 and 10,382 is: 22,422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807 : 10,382 = 10,382 : x
  2. Step 2: Convert to fraction form
    4,807/10,382 = 10,382/x
  3. Step 3: Cross multiply
    4,807x = 10,382 × 10,382
  4. Step 4: Simplify right side
    4,807x = 107,785,924
  5. Step 5: Solve for x
    x = 107,785,924/4,807
  6. Step 6: Final answer
    x = 22,422.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.