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Finding the Third Proportional to 13,478 and 29,246.63

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Solution

The third proportional to 13,478 and 29,246.63 is: 63,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478 : 29,246.63 = 29,246.63 : x
  2. Step 2: Convert to fraction form
    13,478/29,246.63 = 29,246.63/x
  3. Step 3: Cross multiply
    13,478x = 29,246.63 × 29,246.63
  4. Step 4: Simplify right side
    13,478x = 855,365,073.89
  5. Step 5: Solve for x
    x = 855,365,073.89/13,478
  6. Step 6: Final answer
    x = 63,463.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.