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Finding the Third Proportional to 14,246 and 30,133

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Solution

The third proportional to 14,246 and 30,133 is: 63,737.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,246 : 30,133 = 30,133 : x
  2. Step 2: Convert to fraction form
    14,246/30,133 = 30,133/x
  3. Step 3: Cross multiply
    14,246x = 30,133 × 30,133
  4. Step 4: Simplify right side
    14,246x = 907,997,689
  5. Step 5: Solve for x
    x = 907,997,689/14,246
  6. Step 6: Final answer
    x = 63,737.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.