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Finding the Third Proportional to 1,564 and 2,664

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Solution

The third proportional to 1,564 and 2,664 is: 4,537.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564 : 2,664 = 2,664 : x
  2. Step 2: Convert to fraction form
    1,564/2,664 = 2,664/x
  3. Step 3: Cross multiply
    1,564x = 2,664 × 2,664
  4. Step 4: Simplify right side
    1,564x = 7,096,896
  5. Step 5: Solve for x
    x = 7,096,896/1,564
  6. Step 6: Final answer
    x = 4,537.66

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.