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Finding the Third Proportional to 19,352 and 29,928

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Solution

The third proportional to 19,352 and 29,928 is: 46,283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,352 : 29,928 = 29,928 : x
  2. Step 2: Convert to fraction form
    19,352/29,928 = 29,928/x
  3. Step 3: Cross multiply
    19,352x = 29,928 × 29,928
  4. Step 4: Simplify right side
    19,352x = 895,685,184
  5. Step 5: Solve for x
    x = 895,685,184/19,352
  6. Step 6: Final answer
    x = 46,283.86

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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.