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Finding the Third Proportional to 2,346.38 and 5,060.63

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Solution

The third proportional to 2,346.38 and 5,060.63 is: 10,914.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.38 : 5,060.63 = 5,060.63 : x
  2. Step 2: Convert to fraction form
    2,346.38/5,060.63 = 5,060.63/x
  3. Step 3: Cross multiply
    2,346.38x = 5,060.63 × 5,060.63
  4. Step 4: Simplify right side
    2,346.38x = 25,609,925.39
  5. Step 5: Solve for x
    x = 25,609,925.39/2,346.38
  6. Step 6: Final answer
    x = 10,914.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.