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Finding the Third Proportional to 3,429.84 and 7,502.63

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Solution

The third proportional to 3,429.84 and 7,502.63 is: 16,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.84 : 7,502.63 = 7,502.63 : x
  2. Step 2: Convert to fraction form
    3,429.84/7,502.63 = 7,502.63/x
  3. Step 3: Cross multiply
    3,429.84x = 7,502.63 × 7,502.63
  4. Step 4: Simplify right side
    3,429.84x = 56,289,381.89
  5. Step 5: Solve for x
    x = 56,289,381.89/3,429.84
  6. Step 6: Final answer
    x = 16,411.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.