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Finding the Third Proportional to 7,567.50 and 16,143

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Solution

The third proportional to 7,567.50 and 16,143 is: 34,436.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.50 : 16,143 = 16,143 : x
  2. Step 2: Convert to fraction form
    7,567.50/16,143 = 16,143/x
  3. Step 3: Cross multiply
    7,567.50x = 16,143 × 16,143
  4. Step 4: Simplify right side
    7,567.50x = 260,596,449
  5. Step 5: Solve for x
    x = 260,596,449/7,567.50
  6. Step 6: Final answer
    x = 34,436.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.