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Finding the Third Proportional to 7,533 and 13,567.50

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Solution

The third proportional to 7,533 and 13,567.50 is: 24,436.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533 : 13,567.50 = 13,567.50 : x
  2. Step 2: Convert to fraction form
    7,533/13,567.50 = 13,567.50/x
  3. Step 3: Cross multiply
    7,533x = 13,567.50 × 13,567.50
  4. Step 4: Simplify right side
    7,533x = 184,077,056.25
  5. Step 5: Solve for x
    x = 184,077,056.25/7,533
  6. Step 6: Final answer
    x = 24,436.09

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.