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Finding the Third Proportional to 19,875 and 44,124

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Solution

The third proportional to 19,875 and 44,124 is: 97,958.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,875 : 44,124 = 44,124 : x
  2. Step 2: Convert to fraction form
    19,875/44,124 = 44,124/x
  3. Step 3: Cross multiply
    19,875x = 44,124 × 44,124
  4. Step 4: Simplify right side
    19,875x = 1,946,927,376
  5. Step 5: Solve for x
    x = 1,946,927,376/19,875
  6. Step 6: Final answer
    x = 97,958.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.