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Finding the Third Proportional to 3,641.63 and 5,320.13

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Solution

The third proportional to 3,641.63 and 5,320.13 is: 7,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.63 : 5,320.13 = 5,320.13 : x
  2. Step 2: Convert to fraction form
    3,641.63/5,320.13 = 5,320.13/x
  3. Step 3: Cross multiply
    3,641.63x = 5,320.13 × 5,320.13
  4. Step 4: Simplify right side
    3,641.63x = 28,303,730.02
  5. Step 5: Solve for x
    x = 28,303,730.02/3,641.63
  6. Step 6: Final answer
    x = 7,772.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.