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Finding the Third Proportional to 5,024 and 9,778

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Solution

The third proportional to 5,024 and 9,778 is: 19,030.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024 : 9,778 = 9,778 : x
  2. Step 2: Convert to fraction form
    5,024/9,778 = 9,778/x
  3. Step 3: Cross multiply
    5,024x = 9,778 × 9,778
  4. Step 4: Simplify right side
    5,024x = 95,609,284
  5. Step 5: Solve for x
    x = 95,609,284/5,024
  6. Step 6: Final answer
    x = 19,030.51

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.