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Finding the Third Proportional to 19,714 and 29,776

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Solution

The third proportional to 19,714 and 29,776 is: 44,973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714 : 29,776 = 29,776 : x
  2. Step 2: Convert to fraction form
    19,714/29,776 = 29,776/x
  3. Step 3: Cross multiply
    19,714x = 29,776 × 29,776
  4. Step 4: Simplify right side
    19,714x = 886,610,176
  5. Step 5: Solve for x
    x = 886,610,176/19,714
  6. Step 6: Final answer
    x = 44,973.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.