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Finding the Third Proportional to 19,516 and 29,270

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Solution

The third proportional to 19,516 and 29,270 is: 43,899.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,516 : 29,270 = 29,270 : x
  2. Step 2: Convert to fraction form
    19,516/29,270 = 29,270/x
  3. Step 3: Cross multiply
    19,516x = 29,270 × 29,270
  4. Step 4: Simplify right side
    19,516x = 856,732,900
  5. Step 5: Solve for x
    x = 856,732,900/19,516
  6. Step 6: Final answer
    x = 43,899.00

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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.