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Finding the Third Proportional to 9,146 and 19,587

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Solution

The third proportional to 9,146 and 19,587 is: 41,947.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146 : 19,587 = 19,587 : x
  2. Step 2: Convert to fraction form
    9,146/19,587 = 19,587/x
  3. Step 3: Cross multiply
    9,146x = 19,587 × 19,587
  4. Step 4: Simplify right side
    9,146x = 383,650,569
  5. Step 5: Solve for x
    x = 383,650,569/9,146
  6. Step 6: Final answer
    x = 41,947.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.