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Finding the Third Proportional to 6,862.50 and 14,765.63

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Solution

The third proportional to 6,862.50 and 14,765.63 is: 31,770.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.50 : 14,765.63 = 14,765.63 : x
  2. Step 2: Convert to fraction form
    6,862.50/14,765.63 = 14,765.63/x
  3. Step 3: Cross multiply
    6,862.50x = 14,765.63 × 14,765.63
  4. Step 4: Simplify right side
    6,862.50x = 218,023,681.64
  5. Step 5: Solve for x
    x = 218,023,681.64/6,862.50
  6. Step 6: Final answer
    x = 31,770.30

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.