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Finding the Third Proportional to 19,172 and 29,365

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Solution

The third proportional to 19,172 and 29,365 is: 44,977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,172 : 29,365 = 29,365 : x
  2. Step 2: Convert to fraction form
    19,172/29,365 = 29,365/x
  3. Step 3: Cross multiply
    19,172x = 29,365 × 29,365
  4. Step 4: Simplify right side
    19,172x = 862,303,225
  5. Step 5: Solve for x
    x = 862,303,225/19,172
  6. Step 6: Final answer
    x = 44,977.22

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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.