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Finding the Third Proportional to 6,470.63 and 13,864.03

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Solution

The third proportional to 6,470.63 and 13,864.03 is: 29,705.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.63 : 13,864.03 = 13,864.03 : x
  2. Step 2: Convert to fraction form
    6,470.63/13,864.03 = 13,864.03/x
  3. Step 3: Cross multiply
    6,470.63x = 13,864.03 × 13,864.03
  4. Step 4: Simplify right side
    6,470.63x = 192,211,362.50
  5. Step 5: Solve for x
    x = 192,211,362.50/6,470.63
  6. Step 6: Final answer
    x = 29,705.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.