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Finding the Third Proportional to 14,577.56 and 30,192.38

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Solution

The third proportional to 14,577.56 and 30,192.38 is: 62,533.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.56 : 30,192.38 = 30,192.38 : x
  2. Step 2: Convert to fraction form
    14,577.56/30,192.38 = 30,192.38/x
  3. Step 3: Cross multiply
    14,577.56x = 30,192.38 × 30,192.38
  4. Step 4: Simplify right side
    14,577.56x = 911,579,508.14
  5. Step 5: Solve for x
    x = 911,579,508.14/14,577.56
  6. Step 6: Final answer
    x = 62,533.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.