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Finding the Third Proportional to 13,678.24 and 29,543.48

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Solution

The third proportional to 13,678.24 and 29,543.48 is: 63,810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.24 : 29,543.48 = 29,543.48 : x
  2. Step 2: Convert to fraction form
    13,678.24/29,543.48 = 29,543.48/x
  3. Step 3: Cross multiply
    13,678.24x = 29,543.48 × 29,543.48
  4. Step 4: Simplify right side
    13,678.24x = 872,817,469.02
  5. Step 5: Solve for x
    x = 872,817,469.02/13,678.24
  6. Step 6: Final answer
    x = 63,810.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.