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Finding the Third Proportional to 3,688 and 5,646

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Solution

The third proportional to 3,688 and 5,646 is: 8,643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688 : 5,646 = 5,646 : x
  2. Step 2: Convert to fraction form
    3,688/5,646 = 5,646/x
  3. Step 3: Cross multiply
    3,688x = 5,646 × 5,646
  4. Step 4: Simplify right side
    3,688x = 31,877,316
  5. Step 5: Solve for x
    x = 31,877,316/3,688
  6. Step 6: Final answer
    x = 8,643.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.