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Finding the Third Proportional to 4,935.38 and 7,549.88

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Solution

The third proportional to 4,935.38 and 7,549.88 is: 11,549.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935.38 : 7,549.88 = 7,549.88 : x
  2. Step 2: Convert to fraction form
    4,935.38/7,549.88 = 7,549.88/x
  3. Step 3: Cross multiply
    4,935.38x = 7,549.88 × 7,549.88
  4. Step 4: Simplify right side
    4,935.38x = 57,000,612.52
  5. Step 5: Solve for x
    x = 57,000,612.52/4,935.38
  6. Step 6: Final answer
    x = 11,549.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.