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Finding the Third Proportional to 5,153.63 and 7,730.44

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Solution

The third proportional to 5,153.63 and 7,730.44 is: 11,595.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.63 : 7,730.44 = 7,730.44 : x
  2. Step 2: Convert to fraction form
    5,153.63/7,730.44 = 7,730.44/x
  3. Step 3: Cross multiply
    5,153.63x = 7,730.44 × 7,730.44
  4. Step 4: Simplify right side
    5,153.63x = 59,759,663.94
  5. Step 5: Solve for x
    x = 59,759,663.94/5,153.63
  6. Step 6: Final answer
    x = 11,595.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.