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Finding the Third Proportional to 14,435.25 and 30,017.63

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Solution

The third proportional to 14,435.25 and 30,017.63 is: 62,420.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,435.25 : 30,017.63 = 30,017.63 : x
  2. Step 2: Convert to fraction form
    14,435.25/30,017.63 = 30,017.63/x
  3. Step 3: Cross multiply
    14,435.25x = 30,017.63 × 30,017.63
  4. Step 4: Simplify right side
    14,435.25x = 901,057,810.64
  5. Step 5: Solve for x
    x = 901,057,810.64/14,435.25
  6. Step 6: Final answer
    x = 62,420.66

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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.