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Finding the Third Proportional to 5,822.03 and 8,970.12

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Solution

The third proportional to 5,822.03 and 8,970.12 is: 13,820.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.03 : 8,970.12 = 8,970.12 : x
  2. Step 2: Convert to fraction form
    5,822.03/8,970.12 = 8,970.12/x
  3. Step 3: Cross multiply
    5,822.03x = 8,970.12 × 8,970.12
  4. Step 4: Simplify right side
    5,822.03x = 80,463,002.36
  5. Step 5: Solve for x
    x = 80,463,002.36/5,822.03
  6. Step 6: Final answer
    x = 13,820.43

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.