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Finding the Third Proportional to 30,051 and 44,226

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Solution

The third proportional to 30,051 and 44,226 is: 65,087.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,051 : 44,226 = 44,226 : x
  2. Step 2: Convert to fraction form
    30,051/44,226 = 44,226/x
  3. Step 3: Cross multiply
    30,051x = 44,226 × 44,226
  4. Step 4: Simplify right side
    30,051x = 1,955,939,076
  5. Step 5: Solve for x
    x = 1,955,939,076/30,051
  6. Step 6: Final answer
    x = 65,087.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.