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Finding the Third Proportional to 5,140 and 9,024

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Solution

The third proportional to 5,140 and 9,024 is: 15,842.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140 : 9,024 = 9,024 : x
  2. Step 2: Convert to fraction form
    5,140/9,024 = 9,024/x
  3. Step 3: Cross multiply
    5,140x = 9,024 × 9,024
  4. Step 4: Simplify right side
    5,140x = 81,432,576
  5. Step 5: Solve for x
    x = 81,432,576/5,140
  6. Step 6: Final answer
    x = 15,842.91

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.