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Finding the Third Proportional to 12,987 and 14,202

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Solution

The third proportional to 12,987 and 14,202 is: 15,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987 : 14,202 = 14,202 : x
  2. Step 2: Convert to fraction form
    12,987/14,202 = 14,202/x
  3. Step 3: Cross multiply
    12,987x = 14,202 × 14,202
  4. Step 4: Simplify right side
    12,987x = 201,696,804
  5. Step 5: Solve for x
    x = 201,696,804/12,987
  6. Step 6: Final answer
    x = 15,530.67

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.