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Finding the Third Proportional to 5,123.25 and 6,953.63

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Solution

The third proportional to 5,123.25 and 6,953.63 is: 9,437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.25 : 6,953.63 = 6,953.63 : x
  2. Step 2: Convert to fraction form
    5,123.25/6,953.63 = 6,953.63/x
  3. Step 3: Cross multiply
    5,123.25x = 6,953.63 × 6,953.63
  4. Step 4: Simplify right side
    5,123.25x = 48,352,900.64
  5. Step 5: Solve for x
    x = 48,352,900.64/5,123.25
  6. Step 6: Final answer
    x = 9,437.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.