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Finding the Third Proportional to 14,435.50 and 30,018

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Solution

The third proportional to 14,435.50 and 30,018 is: 62,421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,435.50 : 30,018 = 30,018 : x
  2. Step 2: Convert to fraction form
    14,435.50/30,018 = 30,018/x
  3. Step 3: Cross multiply
    14,435.50x = 30,018 × 30,018
  4. Step 4: Simplify right side
    14,435.50x = 901,080,324
  5. Step 5: Solve for x
    x = 901,080,324/14,435.50
  6. Step 6: Final answer
    x = 62,421.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.