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Finding the Third Proportional to 10,707 and 23,054.63

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Solution

The third proportional to 10,707 and 23,054.63 is: 49,641.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707 : 23,054.63 = 23,054.63 : x
  2. Step 2: Convert to fraction form
    10,707/23,054.63 = 23,054.63/x
  3. Step 3: Cross multiply
    10,707x = 23,054.63 × 23,054.63
  4. Step 4: Simplify right side
    10,707x = 531,515,733.89
  5. Step 5: Solve for x
    x = 531,515,733.89/10,707
  6. Step 6: Final answer
    x = 49,641.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.