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Finding the Third Proportional to 7,202 and 12,784

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Solution

The third proportional to 7,202 and 12,784 is: 22,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202 : 12,784 = 12,784 : x
  2. Step 2: Convert to fraction form
    7,202/12,784 = 12,784/x
  3. Step 3: Cross multiply
    7,202x = 12,784 × 12,784
  4. Step 4: Simplify right side
    7,202x = 163,430,656
  5. Step 5: Solve for x
    x = 163,430,656/7,202
  6. Step 6: Final answer
    x = 22,692.40

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.