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Finding the Third Proportional to 6,024 and 9,319.50

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Solution

The third proportional to 6,024 and 9,319.50 is: 14,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024 : 9,319.50 = 9,319.50 : x
  2. Step 2: Convert to fraction form
    6,024/9,319.50 = 9,319.50/x
  3. Step 3: Cross multiply
    6,024x = 9,319.50 × 9,319.50
  4. Step 4: Simplify right side
    6,024x = 86,853,080.25
  5. Step 5: Solve for x
    x = 86,853,080.25/6,024
  6. Step 6: Final answer
    x = 14,417.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.