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Finding the Third Proportional to 2,315.67 and 4,921.59

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Solution

The third proportional to 2,315.67 and 4,921.59 is: 10,460.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.67 : 4,921.59 = 4,921.59 : x
  2. Step 2: Convert to fraction form
    2,315.67/4,921.59 = 4,921.59/x
  3. Step 3: Cross multiply
    2,315.67x = 4,921.59 × 4,921.59
  4. Step 4: Simplify right side
    2,315.67x = 24,222,085.04
  5. Step 5: Solve for x
    x = 24,222,085.04/2,315.67
  6. Step 6: Final answer
    x = 10,460.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.