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Finding the Third Proportional to 13,842.94 and 29,652.80

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Solution

The third proportional to 13,842.94 and 29,652.80 is: 63,518.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.94 : 29,652.80 = 29,652.80 : x
  2. Step 2: Convert to fraction form
    13,842.94/29,652.80 = 29,652.80/x
  3. Step 3: Cross multiply
    13,842.94x = 29,652.80 × 29,652.80
  4. Step 4: Simplify right side
    13,842.94x = 879,288,362.51
  5. Step 5: Solve for x
    x = 879,288,362.51/13,842.94
  6. Step 6: Final answer
    x = 63,518.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.