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Finding the Third Proportional to 14,410.13 and 29,534.63

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Solution

The third proportional to 14,410.13 and 29,534.63 is: 60,533.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.13 : 29,534.63 = 29,534.63 : x
  2. Step 2: Convert to fraction form
    14,410.13/29,534.63 = 29,534.63/x
  3. Step 3: Cross multiply
    14,410.13x = 29,534.63 × 29,534.63
  4. Step 4: Simplify right side
    14,410.13x = 872,294,073.89
  5. Step 5: Solve for x
    x = 872,294,073.89/14,410.13
  6. Step 6: Final answer
    x = 60,533.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.