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Finding the Third Proportional to 16,154.63 and 35,309.63

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Solution

The third proportional to 16,154.63 and 35,309.63 is: 77,177.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,154.63 : 35,309.63 = 35,309.63 : x
  2. Step 2: Convert to fraction form
    16,154.63/35,309.63 = 35,309.63/x
  3. Step 3: Cross multiply
    16,154.63x = 35,309.63 × 35,309.63
  4. Step 4: Simplify right side
    16,154.63x = 1,246,769,617.64
  5. Step 5: Solve for x
    x = 1,246,769,617.64/16,154.63
  6. Step 6: Final answer
    x = 77,177.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.