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Finding the Third Proportional to 19,010 and 29,861

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Solution

The third proportional to 19,010 and 29,861 is: 46,905.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,010 : 29,861 = 29,861 : x
  2. Step 2: Convert to fraction form
    19,010/29,861 = 29,861/x
  3. Step 3: Cross multiply
    19,010x = 29,861 × 29,861
  4. Step 4: Simplify right side
    19,010x = 891,679,321
  5. Step 5: Solve for x
    x = 891,679,321/19,010
  6. Step 6: Final answer
    x = 46,905.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.