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Finding the Third Proportional to 30,141 and 44,127

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Solution

The third proportional to 30,141 and 44,127 is: 64,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,141 : 44,127 = 44,127 : x
  2. Step 2: Convert to fraction form
    30,141/44,127 = 44,127/x
  3. Step 3: Cross multiply
    30,141x = 44,127 × 44,127
  4. Step 4: Simplify right side
    30,141x = 1,947,192,129
  5. Step 5: Solve for x
    x = 1,947,192,129/30,141
  6. Step 6: Final answer
    x = 64,602.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.