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Finding the Third Proportional to 2,328.55 and 3,522.93

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Solution

The third proportional to 2,328.55 and 3,522.93 is: 5,329.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.55 : 3,522.93 = 3,522.93 : x
  2. Step 2: Convert to fraction form
    2,328.55/3,522.93 = 3,522.93/x
  3. Step 3: Cross multiply
    2,328.55x = 3,522.93 × 3,522.93
  4. Step 4: Simplify right side
    2,328.55x = 12,411,033.58
  5. Step 5: Solve for x
    x = 12,411,033.58/2,328.55
  6. Step 6: Final answer
    x = 5,329.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.