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Finding the Third Proportional to 25,907 and 40,005.75

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Solution

The third proportional to 25,907 and 40,005.75 is: 61,777.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,907 : 40,005.75 = 40,005.75 : x
  2. Step 2: Convert to fraction form
    25,907/40,005.75 = 40,005.75/x
  3. Step 3: Cross multiply
    25,907x = 40,005.75 × 40,005.75
  4. Step 4: Simplify right side
    25,907x = 1,600,460,033.06
  5. Step 5: Solve for x
    x = 1,600,460,033.06/25,907
  6. Step 6: Final answer
    x = 61,777.13

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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.