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Finding the Third Proportional to 5,851 and 9,300

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Solution

The third proportional to 5,851 and 9,300 is: 14,782.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851 : 9,300 = 9,300 : x
  2. Step 2: Convert to fraction form
    5,851/9,300 = 9,300/x
  3. Step 3: Cross multiply
    5,851x = 9,300 × 9,300
  4. Step 4: Simplify right side
    5,851x = 86,490,000
  5. Step 5: Solve for x
    x = 86,490,000/5,851
  6. Step 6: Final answer
    x = 14,782.09

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.