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Finding the Third Proportional to 23,039 and 35,574

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Solution

The third proportional to 23,039 and 35,574 is: 54,929.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,039 : 35,574 = 35,574 : x
  2. Step 2: Convert to fraction form
    23,039/35,574 = 35,574/x
  3. Step 3: Cross multiply
    23,039x = 35,574 × 35,574
  4. Step 4: Simplify right side
    23,039x = 1,265,509,476
  5. Step 5: Solve for x
    x = 1,265,509,476/23,039
  6. Step 6: Final answer
    x = 54,929.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.