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Finding the Third Proportional to 13,006 and 14,221

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Solution

The third proportional to 13,006 and 14,221 is: 15,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006 : 14,221 = 14,221 : x
  2. Step 2: Convert to fraction form
    13,006/14,221 = 14,221/x
  3. Step 3: Cross multiply
    13,006x = 14,221 × 14,221
  4. Step 4: Simplify right side
    13,006x = 202,236,841
  5. Step 5: Solve for x
    x = 202,236,841/13,006
  6. Step 6: Final answer
    x = 15,549.50

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1.5x scale

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.