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Finding the Third Proportional to 4,587 and 6,561

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Solution

The third proportional to 4,587 and 6,561 is: 9,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,587 : 6,561 = 6,561 : x
  2. Step 2: Convert to fraction form
    4,587/6,561 = 6,561/x
  3. Step 3: Cross multiply
    4,587x = 6,561 × 6,561
  4. Step 4: Simplify right side
    4,587x = 43,046,721
  5. Step 5: Solve for x
    x = 43,046,721/4,587
  6. Step 6: Final answer
    x = 9,384.50

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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.