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Finding the Third Proportional to 4,264.88 and 9,045

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Solution

The third proportional to 4,264.88 and 9,045 is: 19,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,264.88 : 9,045 = 9,045 : x
  2. Step 2: Convert to fraction form
    4,264.88/9,045 = 9,045/x
  3. Step 3: Cross multiply
    4,264.88x = 9,045 × 9,045
  4. Step 4: Simplify right side
    4,264.88x = 81,812,025
  5. Step 5: Solve for x
    x = 81,812,025/4,264.88
  6. Step 6: Final answer
    x = 19,182.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.