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Finding the Third Proportional to 25,807 and 36,341.50

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Solution

The third proportional to 25,807 and 36,341.50 is: 51,176.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,807 : 36,341.50 = 36,341.50 : x
  2. Step 2: Convert to fraction form
    25,807/36,341.50 = 36,341.50/x
  3. Step 3: Cross multiply
    25,807x = 36,341.50 × 36,341.50
  4. Step 4: Simplify right side
    25,807x = 1,320,704,622.25
  5. Step 5: Solve for x
    x = 1,320,704,622.25/25,807
  6. Step 6: Final answer
    x = 51,176.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.