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Finding the Third Proportional to 24,065 and 36,097.50

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Solution

The third proportional to 24,065 and 36,097.50 is: 54,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,065 : 36,097.50 = 36,097.50 : x
  2. Step 2: Convert to fraction form
    24,065/36,097.50 = 36,097.50/x
  3. Step 3: Cross multiply
    24,065x = 36,097.50 × 36,097.50
  4. Step 4: Simplify right side
    24,065x = 1,303,029,506.25
  5. Step 5: Solve for x
    x = 1,303,029,506.25/24,065
  6. Step 6: Final answer
    x = 54,146.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.