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Finding the Third Proportional to 19,176 and 29,370

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Solution

The third proportional to 19,176 and 29,370 is: 44,983.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,176 : 29,370 = 29,370 : x
  2. Step 2: Convert to fraction form
    19,176/29,370 = 29,370/x
  3. Step 3: Cross multiply
    19,176x = 29,370 × 29,370
  4. Step 4: Simplify right side
    19,176x = 862,596,900
  5. Step 5: Solve for x
    x = 862,596,900/19,176
  6. Step 6: Final answer
    x = 44,983.15

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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.