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Finding the Third Proportional to 19,808 and 29,715

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Solution

The third proportional to 19,808 and 29,715 is: 44,577.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,808 : 29,715 = 29,715 : x
  2. Step 2: Convert to fraction form
    19,808/29,715 = 29,715/x
  3. Step 3: Cross multiply
    19,808x = 29,715 × 29,715
  4. Step 4: Simplify right side
    19,808x = 882,981,225
  5. Step 5: Solve for x
    x = 882,981,225/19,808
  6. Step 6: Final answer
    x = 44,577.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.