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Finding the Third Proportional to 9,465 and 13,153.50

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Solution

The third proportional to 9,465 and 13,153.50 is: 18,279.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465 : 13,153.50 = 13,153.50 : x
  2. Step 2: Convert to fraction form
    9,465/13,153.50 = 13,153.50/x
  3. Step 3: Cross multiply
    9,465x = 13,153.50 × 13,153.50
  4. Step 4: Simplify right side
    9,465x = 173,014,562.25
  5. Step 5: Solve for x
    x = 173,014,562.25/9,465
  6. Step 6: Final answer
    x = 18,279.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.