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Finding the Third Proportional to 6,847.88 and 12,830.06

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Solution

The third proportional to 6,847.88 and 12,830.06 is: 24,038.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.88 : 12,830.06 = 12,830.06 : x
  2. Step 2: Convert to fraction form
    6,847.88/12,830.06 = 12,830.06/x
  3. Step 3: Cross multiply
    6,847.88x = 12,830.06 × 12,830.06
  4. Step 4: Simplify right side
    6,847.88x = 164,610,503.75
  5. Step 5: Solve for x
    x = 164,610,503.75/6,847.88
  6. Step 6: Final answer
    x = 24,038.19

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.