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Finding the Third Proportional to 11,370 and 24,319.50

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Solution

The third proportional to 11,370 and 24,319.50 is: 52,017.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,370 : 24,319.50 = 24,319.50 : x
  2. Step 2: Convert to fraction form
    11,370/24,319.50 = 24,319.50/x
  3. Step 3: Cross multiply
    11,370x = 24,319.50 × 24,319.50
  4. Step 4: Simplify right side
    11,370x = 591,438,080.25
  5. Step 5: Solve for x
    x = 591,438,080.25/11,370
  6. Step 6: Final answer
    x = 52,017.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.