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Finding the Third Proportional to 3,715.88 and 4,953.66

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Solution

The third proportional to 3,715.88 and 4,953.66 is: 6,603.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.88 : 4,953.66 = 4,953.66 : x
  2. Step 2: Convert to fraction form
    3,715.88/4,953.66 = 4,953.66/x
  3. Step 3: Cross multiply
    3,715.88x = 4,953.66 × 4,953.66
  4. Step 4: Simplify right side
    3,715.88x = 24,538,710.24
  5. Step 5: Solve for x
    x = 24,538,710.24/3,715.88
  6. Step 6: Final answer
    x = 6,603.75

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.