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Finding the Third Proportional to 14,266.13 and 21,029.63

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Solution

The third proportional to 14,266.13 and 21,029.63 is: 30,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,266.13 : 21,029.63 = 21,029.63 : x
  2. Step 2: Convert to fraction form
    14,266.13/21,029.63 = 21,029.63/x
  3. Step 3: Cross multiply
    14,266.13x = 21,029.63 × 21,029.63
  4. Step 4: Simplify right side
    14,266.13x = 442,245,127.64
  5. Step 5: Solve for x
    x = 442,245,127.64/14,266.13
  6. Step 6: Final answer
    x = 30,999.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.