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Finding the Third Proportional to 15,384.30 and 31,834.90

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Solution

The third proportional to 15,384.30 and 31,834.90 is: 65,876.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.30 : 31,834.90 = 31,834.90 : x
  2. Step 2: Convert to fraction form
    15,384.30/31,834.90 = 31,834.90/x
  3. Step 3: Cross multiply
    15,384.30x = 31,834.90 × 31,834.90
  4. Step 4: Simplify right side
    15,384.30x = 1,013,460,758.53
  5. Step 5: Solve for x
    x = 1,013,460,758.53/15,384.30
  6. Step 6: Final answer
    x = 65,876.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.