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Finding the Third Proportional to 12,345.75 and 25,876.13

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Solution

The third proportional to 12,345.75 and 25,876.13 is: 54,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,345.75 : 25,876.13 = 25,876.13 : x
  2. Step 2: Convert to fraction form
    12,345.75/25,876.13 = 25,876.13/x
  3. Step 3: Cross multiply
    12,345.75x = 25,876.13 × 25,876.13
  4. Step 4: Simplify right side
    12,345.75x = 669,573,845.02
  5. Step 5: Solve for x
    x = 669,573,845.02/12,345.75
  6. Step 6: Final answer
    x = 54,235.17

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.