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Finding the Third Proportional to 6,307.13 and 8,746.13

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Solution

The third proportional to 6,307.13 and 8,746.13 is: 12,128.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.13 : 8,746.13 = 8,746.13 : x
  2. Step 2: Convert to fraction form
    6,307.13/8,746.13 = 8,746.13/x
  3. Step 3: Cross multiply
    6,307.13x = 8,746.13 × 8,746.13
  4. Step 4: Simplify right side
    6,307.13x = 76,494,702.52
  5. Step 5: Solve for x
    x = 76,494,702.52/6,307.13
  6. Step 6: Final answer
    x = 12,128.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.