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Finding the Third Proportional to 6,705 and 11,830.50

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Solution

The third proportional to 6,705 and 11,830.50 is: 20,874.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705 : 11,830.50 = 11,830.50 : x
  2. Step 2: Convert to fraction form
    6,705/11,830.50 = 11,830.50/x
  3. Step 3: Cross multiply
    6,705x = 11,830.50 × 11,830.50
  4. Step 4: Simplify right side
    6,705x = 139,960,730.25
  5. Step 5: Solve for x
    x = 139,960,730.25/6,705
  6. Step 6: Final answer
    x = 20,874.08

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.