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Finding the Third Proportional to 30,823.03 and 59,314.78

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Solution

The third proportional to 30,823.03 and 59,314.78 is: 114,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.03 : 59,314.78 = 59,314.78 : x
  2. Step 2: Convert to fraction form
    30,823.03/59,314.78 = 59,314.78/x
  3. Step 3: Cross multiply
    30,823.03x = 59,314.78 × 59,314.78
  4. Step 4: Simplify right side
    30,823.03x = 3,518,243,274.74
  5. Step 5: Solve for x
    x = 3,518,243,274.74/30,823.03
  6. Step 6: Final answer
    x = 114,143.33

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.