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Finding the Third Proportional to 12,465 and 20,774.25

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Solution

The third proportional to 12,465 and 20,774.25 is: 34,622.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465 : 20,774.25 = 20,774.25 : x
  2. Step 2: Convert to fraction form
    12,465/20,774.25 = 20,774.25/x
  3. Step 3: Cross multiply
    12,465x = 20,774.25 × 20,774.25
  4. Step 4: Simplify right side
    12,465x = 431,569,463.06
  5. Step 5: Solve for x
    x = 431,569,463.06/12,465
  6. Step 6: Final answer
    x = 34,622.50

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.