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Finding the Third Proportional to 14,870.25 and 23,029.31

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Solution

The third proportional to 14,870.25 and 23,029.31 is: 35,665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,870.25 : 23,029.31 = 23,029.31 : x
  2. Step 2: Convert to fraction form
    14,870.25/23,029.31 = 23,029.31/x
  3. Step 3: Cross multiply
    14,870.25x = 23,029.31 × 23,029.31
  4. Step 4: Simplify right side
    14,870.25x = 530,349,234.22
  5. Step 5: Solve for x
    x = 530,349,234.22/14,870.25
  6. Step 6: Final answer
    x = 35,665.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.