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Finding the Third Proportional to 4,298.06 and 7,730.44

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Solution

The third proportional to 4,298.06 and 7,730.44 is: 13,903.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.06 : 7,730.44 = 7,730.44 : x
  2. Step 2: Convert to fraction form
    4,298.06/7,730.44 = 7,730.44/x
  3. Step 3: Cross multiply
    4,298.06x = 7,730.44 × 7,730.44
  4. Step 4: Simplify right side
    4,298.06x = 59,759,663.94
  5. Step 5: Solve for x
    x = 59,759,663.94/4,298.06
  6. Step 6: Final answer
    x = 13,903.86

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.