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Finding the Third Proportional to 9,303 and 13,261

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Solution

The third proportional to 9,303 and 13,261 is: 18,902.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303 : 13,261 = 13,261 : x
  2. Step 2: Convert to fraction form
    9,303/13,261 = 13,261/x
  3. Step 3: Cross multiply
    9,303x = 13,261 × 13,261
  4. Step 4: Simplify right side
    9,303x = 175,854,121
  5. Step 5: Solve for x
    x = 175,854,121/9,303
  6. Step 6: Final answer
    x = 18,902.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.