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Finding the Third Proportional to 13,143.16 and 28,830.87

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Solution

The third proportional to 13,143.16 and 28,830.87 is: 63,243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.16 : 28,830.87 = 28,830.87 : x
  2. Step 2: Convert to fraction form
    13,143.16/28,830.87 = 28,830.87/x
  3. Step 3: Cross multiply
    13,143.16x = 28,830.87 × 28,830.87
  4. Step 4: Simplify right side
    13,143.16x = 831,218,902.78
  5. Step 5: Solve for x
    x = 831,218,902.78/13,143.16
  6. Step 6: Final answer
    x = 63,243.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.