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Finding the Third Proportional to 19,176 and 29,730

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Solution

The third proportional to 19,176 and 29,730 is: 46,092.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,176 : 29,730 = 29,730 : x
  2. Step 2: Convert to fraction form
    19,176/29,730 = 29,730/x
  3. Step 3: Cross multiply
    19,176x = 29,730 × 29,730
  4. Step 4: Simplify right side
    19,176x = 883,872,900
  5. Step 5: Solve for x
    x = 883,872,900/19,176
  6. Step 6: Final answer
    x = 46,092.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.