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Finding the Third Proportional to 5,302.83 and 11,036.46

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Solution

The third proportional to 5,302.83 and 11,036.46 is: 22,969.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.83 : 11,036.46 = 11,036.46 : x
  2. Step 2: Convert to fraction form
    5,302.83/11,036.46 = 11,036.46/x
  3. Step 3: Cross multiply
    5,302.83x = 11,036.46 × 11,036.46
  4. Step 4: Simplify right side
    5,302.83x = 121,803,470.02
  5. Step 5: Solve for x
    x = 121,803,470.02/5,302.83
  6. Step 6: Final answer
    x = 22,969.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.