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Finding the Third Proportional to 25,758 and 40,818

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Solution

The third proportional to 25,758 and 40,818 is: 64,683.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,758 : 40,818 = 40,818 : x
  2. Step 2: Convert to fraction form
    25,758/40,818 = 40,818/x
  3. Step 3: Cross multiply
    25,758x = 40,818 × 40,818
  4. Step 4: Simplify right side
    25,758x = 1,666,109,124
  5. Step 5: Solve for x
    x = 1,666,109,124/25,758
  6. Step 6: Final answer
    x = 64,683.17

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.