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Finding the Third Proportional to 14,699.63 and 22,186.13

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Solution

The third proportional to 14,699.63 and 22,186.13 is: 33,485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,699.63 : 22,186.13 = 22,186.13 : x
  2. Step 2: Convert to fraction form
    14,699.63/22,186.13 = 22,186.13/x
  3. Step 3: Cross multiply
    14,699.63x = 22,186.13 × 22,186.13
  4. Step 4: Simplify right side
    14,699.63x = 492,224,142.52
  5. Step 5: Solve for x
    x = 492,224,142.52/14,699.63
  6. Step 6: Final answer
    x = 33,485.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.