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Finding the Third Proportional to 25,641.75 and 53,875.13

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Solution

The third proportional to 25,641.75 and 53,875.13 is: 113,195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,641.75 : 53,875.13 = 53,875.13 : x
  2. Step 2: Convert to fraction form
    25,641.75/53,875.13 = 53,875.13/x
  3. Step 3: Cross multiply
    25,641.75x = 53,875.13 × 53,875.13
  4. Step 4: Simplify right side
    25,641.75x = 2,902,529,093.77
  5. Step 5: Solve for x
    x = 2,902,529,093.77/25,641.75
  6. Step 6: Final answer
    x = 113,195.44

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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.