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Finding the Third Proportional to 4,196 and 6,646

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Solution

The third proportional to 4,196 and 6,646 is: 10,526.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196 : 6,646 = 6,646 : x
  2. Step 2: Convert to fraction form
    4,196/6,646 = 6,646/x
  3. Step 3: Cross multiply
    4,196x = 6,646 × 6,646
  4. Step 4: Simplify right side
    4,196x = 44,169,316
  5. Step 5: Solve for x
    x = 44,169,316/4,196
  6. Step 6: Final answer
    x = 10,526.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.