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Finding the Third Proportional to 6,010 and 12,886.50

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Solution

The third proportional to 6,010 and 12,886.50 is: 27,630.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,010 : 12,886.50 = 12,886.50 : x
  2. Step 2: Convert to fraction form
    6,010/12,886.50 = 12,886.50/x
  3. Step 3: Cross multiply
    6,010x = 12,886.50 × 12,886.50
  4. Step 4: Simplify right side
    6,010x = 166,061,882.25
  5. Step 5: Solve for x
    x = 166,061,882.25/6,010
  6. Step 6: Final answer
    x = 27,630.93

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.