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Finding the Third Proportional to 3,470.63 and 5,203.69

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Solution

The third proportional to 3,470.63 and 5,203.69 is: 7,802.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.63 : 5,203.69 = 5,203.69 : x
  2. Step 2: Convert to fraction form
    3,470.63/5,203.69 = 5,203.69/x
  3. Step 3: Cross multiply
    3,470.63x = 5,203.69 × 5,203.69
  4. Step 4: Simplify right side
    3,470.63x = 27,078,363.60
  5. Step 5: Solve for x
    x = 27,078,363.60/3,470.63
  6. Step 6: Final answer
    x = 7,802.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.