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Finding the Third Proportional to 10,257.19 and 14,666.91

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Solution

The third proportional to 10,257.19 and 14,666.91 is: 20,972.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.19 : 14,666.91 = 14,666.91 : x
  2. Step 2: Convert to fraction form
    10,257.19/14,666.91 = 14,666.91/x
  3. Step 3: Cross multiply
    10,257.19x = 14,666.91 × 14,666.91
  4. Step 4: Simplify right side
    10,257.19x = 215,118,138.95
  5. Step 5: Solve for x
    x = 215,118,138.95/10,257.19
  6. Step 6: Final answer
    x = 20,972.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.