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Finding the Third Proportional to 9,152 and 13,300

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Solution

The third proportional to 9,152 and 13,300 is: 19,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152 : 13,300 = 13,300 : x
  2. Step 2: Convert to fraction form
    9,152/13,300 = 13,300/x
  3. Step 3: Cross multiply
    9,152x = 13,300 × 13,300
  4. Step 4: Simplify right side
    9,152x = 176,890,000
  5. Step 5: Solve for x
    x = 176,890,000/9,152
  6. Step 6: Final answer
    x = 19,328.02

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.