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Finding the Third Proportional to 25,769 and 40,729

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Solution

The third proportional to 25,769 and 40,729 is: 64,373.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,769 : 40,729 = 40,729 : x
  2. Step 2: Convert to fraction form
    25,769/40,729 = 40,729/x
  3. Step 3: Cross multiply
    25,769x = 40,729 × 40,729
  4. Step 4: Simplify right side
    25,769x = 1,658,851,441
  5. Step 5: Solve for x
    x = 1,658,851,441/25,769
  6. Step 6: Final answer
    x = 64,373.92

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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.