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Finding the Third Proportional to 5,209 and 7,633

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Solution

The third proportional to 5,209 and 7,633 is: 11,185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209 : 7,633 = 7,633 : x
  2. Step 2: Convert to fraction form
    5,209/7,633 = 7,633/x
  3. Step 3: Cross multiply
    5,209x = 7,633 × 7,633
  4. Step 4: Simplify right side
    5,209x = 58,262,689
  5. Step 5: Solve for x
    x = 58,262,689/5,209
  6. Step 6: Final answer
    x = 11,185.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.