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Finding the Third Proportional to 5,030.63 and 7,391.44

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Solution

The third proportional to 5,030.63 and 7,391.44 is: 10,860.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,030.63 : 7,391.44 = 7,391.44 : x
  2. Step 2: Convert to fraction form
    5,030.63/7,391.44 = 7,391.44/x
  3. Step 3: Cross multiply
    5,030.63x = 7,391.44 × 7,391.44
  4. Step 4: Simplify right side
    5,030.63x = 54,633,348.32
  5. Step 5: Solve for x
    x = 54,633,348.32/5,030.63
  6. Step 6: Final answer
    x = 10,860.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.