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Finding the Third Proportional to 4,534.13 and 5,269.88

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Solution

The third proportional to 4,534.13 and 5,269.88 is: 6,125.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.13 : 5,269.88 = 5,269.88 : x
  2. Step 2: Convert to fraction form
    4,534.13/5,269.88 = 5,269.88/x
  3. Step 3: Cross multiply
    4,534.13x = 5,269.88 × 5,269.88
  4. Step 4: Simplify right side
    4,534.13x = 27,771,582.52
  5. Step 5: Solve for x
    x = 27,771,582.52/4,534.13
  6. Step 6: Final answer
    x = 6,125.01

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.