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Finding the Third Proportional to 10,666.88 and 14,359.63

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Solution

The third proportional to 10,666.88 and 14,359.63 is: 19,330.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.88 : 14,359.63 = 14,359.63 : x
  2. Step 2: Convert to fraction form
    10,666.88/14,359.63 = 14,359.63/x
  3. Step 3: Cross multiply
    10,666.88x = 14,359.63 × 14,359.63
  4. Step 4: Simplify right side
    10,666.88x = 206,198,830.14
  5. Step 5: Solve for x
    x = 206,198,830.14/10,666.88
  6. Step 6: Final answer
    x = 19,330.76

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.