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Finding the Third Proportional to 1,770 and 4,221

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Solution

The third proportional to 1,770 and 4,221 is: 10,066.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770 : 4,221 = 4,221 : x
  2. Step 2: Convert to fraction form
    1,770/4,221 = 4,221/x
  3. Step 3: Cross multiply
    1,770x = 4,221 × 4,221
  4. Step 4: Simplify right side
    1,770x = 17,816,841
  5. Step 5: Solve for x
    x = 17,816,841/1,770
  6. Step 6: Final answer
    x = 10,066.01

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.