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Finding the Third Proportional to 12,113.25 and 25,978.50

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Solution

The third proportional to 12,113.25 and 25,978.50 is: 55,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,113.25 : 25,978.50 = 25,978.50 : x
  2. Step 2: Convert to fraction form
    12,113.25/25,978.50 = 25,978.50/x
  3. Step 3: Cross multiply
    12,113.25x = 25,978.50 × 25,978.50
  4. Step 4: Simplify right side
    12,113.25x = 674,882,462.25
  5. Step 5: Solve for x
    x = 674,882,462.25/12,113.25
  6. Step 6: Final answer
    x = 55,714.40

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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.