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Finding the Third Proportional to 19,100 and 29,216

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Solution

The third proportional to 19,100 and 29,216 is: 44,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,100 : 29,216 = 29,216 : x
  2. Step 2: Convert to fraction form
    19,100/29,216 = 29,216/x
  3. Step 3: Cross multiply
    19,100x = 29,216 × 29,216
  4. Step 4: Simplify right side
    19,100x = 853,574,656
  5. Step 5: Solve for x
    x = 853,574,656/19,100
  6. Step 6: Final answer
    x = 44,689.77

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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.