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Finding the Third Proportional to 4,024.69 and 4,700.53

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Solution

The third proportional to 4,024.69 and 4,700.53 is: 5,489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,024.69 : 4,700.53 = 4,700.53 : x
  2. Step 2: Convert to fraction form
    4,024.69/4,700.53 = 4,700.53/x
  3. Step 3: Cross multiply
    4,024.69x = 4,700.53 × 4,700.53
  4. Step 4: Simplify right side
    4,024.69x = 22,094,994.03
  5. Step 5: Solve for x
    x = 22,094,994.03/4,024.69
  6. Step 6: Final answer
    x = 5,489.87

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.