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Finding the Third Proportional to 19,506 and 29,247

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Solution

The third proportional to 19,506 and 29,247 is: 43,852.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,506 : 29,247 = 29,247 : x
  2. Step 2: Convert to fraction form
    19,506/29,247 = 29,247/x
  3. Step 3: Cross multiply
    19,506x = 29,247 × 29,247
  4. Step 4: Simplify right side
    19,506x = 855,387,009
  5. Step 5: Solve for x
    x = 855,387,009/19,506
  6. Step 6: Final answer
    x = 43,852.51

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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.