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Finding the Third Proportional to 19,466 and 29,770

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Solution

The third proportional to 19,466 and 29,770 is: 45,528.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,466 : 29,770 = 29,770 : x
  2. Step 2: Convert to fraction form
    19,466/29,770 = 29,770/x
  3. Step 3: Cross multiply
    19,466x = 29,770 × 29,770
  4. Step 4: Simplify right side
    19,466x = 886,252,900
  5. Step 5: Solve for x
    x = 886,252,900/19,466
  6. Step 6: Final answer
    x = 45,528.25

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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.