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Finding the Third Proportional to 7,862.91 and 12,068.16

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Solution

The third proportional to 7,862.91 and 12,068.16 is: 18,522.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.91 : 12,068.16 = 12,068.16 : x
  2. Step 2: Convert to fraction form
    7,862.91/12,068.16 = 12,068.16/x
  3. Step 3: Cross multiply
    7,862.91x = 12,068.16 × 12,068.16
  4. Step 4: Simplify right side
    7,862.91x = 145,640,395.27
  5. Step 5: Solve for x
    x = 145,640,395.27/7,862.91
  6. Step 6: Final answer
    x = 18,522.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.