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Finding the Third Proportional to 4,702.10 and 6,886.17

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Solution

The third proportional to 4,702.10 and 6,886.17 is: 10,084.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.10 : 6,886.17 = 6,886.17 : x
  2. Step 2: Convert to fraction form
    4,702.10/6,886.17 = 6,886.17/x
  3. Step 3: Cross multiply
    4,702.10x = 6,886.17 × 6,886.17
  4. Step 4: Simplify right side
    4,702.10x = 47,419,292.48
  5. Step 5: Solve for x
    x = 47,419,292.48/4,702.10
  6. Step 6: Final answer
    x = 10,084.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.