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Finding the Third Proportional to 6,142.08 and 9,263.95

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Solution

The third proportional to 6,142.08 and 9,263.95 is: 13,972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.08 : 9,263.95 = 9,263.95 : x
  2. Step 2: Convert to fraction form
    6,142.08/9,263.95 = 9,263.95/x
  3. Step 3: Cross multiply
    6,142.08x = 9,263.95 × 9,263.95
  4. Step 4: Simplify right side
    6,142.08x = 85,820,827.50
  5. Step 5: Solve for x
    x = 85,820,827.50/6,142.08
  6. Step 6: Final answer
    x = 13,972.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.