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Finding the Third Proportional to 3,348.75 and 5,306.63

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Solution

The third proportional to 3,348.75 and 5,306.63 is: 8,409.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348.75 : 5,306.63 = 5,306.63 : x
  2. Step 2: Convert to fraction form
    3,348.75/5,306.63 = 5,306.63/x
  3. Step 3: Cross multiply
    3,348.75x = 5,306.63 × 5,306.63
  4. Step 4: Simplify right side
    3,348.75x = 28,160,268.89
  5. Step 5: Solve for x
    x = 28,160,268.89/3,348.75
  6. Step 6: Final answer
    x = 8,409.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.