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Finding the Third Proportional to 12,514.50 and 34,070.63

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Solution

The third proportional to 12,514.50 and 34,070.63 is: 92,757.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.50 : 34,070.63 = 34,070.63 : x
  2. Step 2: Convert to fraction form
    12,514.50/34,070.63 = 34,070.63/x
  3. Step 3: Cross multiply
    12,514.50x = 34,070.63 × 34,070.63
  4. Step 4: Simplify right side
    12,514.50x = 1,160,807,487.89
  5. Step 5: Solve for x
    x = 1,160,807,487.89/12,514.50
  6. Step 6: Final answer
    x = 92,757.00

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These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.