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Finding the Third Proportional to 22,146 and 31,587

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Solution

The third proportional to 22,146 and 31,587 is: 45,052.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,146 : 31,587 = 31,587 : x
  2. Step 2: Convert to fraction form
    22,146/31,587 = 31,587/x
  3. Step 3: Cross multiply
    22,146x = 31,587 × 31,587
  4. Step 4: Simplify right side
    22,146x = 997,738,569
  5. Step 5: Solve for x
    x = 997,738,569/22,146
  6. Step 6: Final answer
    x = 45,052.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.