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Finding the Third Proportional to 6,162.95 and 9,730.98

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Solution

The third proportional to 6,162.95 and 9,730.98 is: 15,364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.95 : 9,730.98 = 9,730.98 : x
  2. Step 2: Convert to fraction form
    6,162.95/9,730.98 = 9,730.98/x
  3. Step 3: Cross multiply
    6,162.95x = 9,730.98 × 9,730.98
  4. Step 4: Simplify right side
    6,162.95x = 94,691,881.10
  5. Step 5: Solve for x
    x = 94,691,881.10/6,162.95
  6. Step 6: Final answer
    x = 15,364.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.