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Finding the Third Proportional to 25,088 and 35,112

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Solution

The third proportional to 25,088 and 35,112 is: 49,141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,088 : 35,112 = 35,112 : x
  2. Step 2: Convert to fraction form
    25,088/35,112 = 35,112/x
  3. Step 3: Cross multiply
    25,088x = 35,112 × 35,112
  4. Step 4: Simplify right side
    25,088x = 1,232,852,544
  5. Step 5: Solve for x
    x = 1,232,852,544/25,088
  6. Step 6: Final answer
    x = 49,141.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.