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Finding the Third Proportional to 10,707.19 and 23,252.06

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Solution

The third proportional to 10,707.19 and 23,252.06 is: 50,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.19 : 23,252.06 = 23,252.06 : x
  2. Step 2: Convert to fraction form
    10,707.19/23,252.06 = 23,252.06/x
  3. Step 3: Cross multiply
    10,707.19x = 23,252.06 × 23,252.06
  4. Step 4: Simplify right side
    10,707.19x = 540,658,410.50
  5. Step 5: Solve for x
    x = 540,658,410.50/10,707.19
  6. Step 6: Final answer
    x = 50,494.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.