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Finding the Third Proportional to 5,588 and 9,300

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Solution

The third proportional to 5,588 and 9,300 is: 15,477.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588 : 9,300 = 9,300 : x
  2. Step 2: Convert to fraction form
    5,588/9,300 = 9,300/x
  3. Step 3: Cross multiply
    5,588x = 9,300 × 9,300
  4. Step 4: Simplify right side
    5,588x = 86,490,000
  5. Step 5: Solve for x
    x = 86,490,000/5,588
  6. Step 6: Final answer
    x = 15,477.81

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.