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Finding the Third Proportional to 10,512 and 14,430

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Solution

The third proportional to 10,512 and 14,430 is: 19,808.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512 : 14,430 = 14,430 : x
  2. Step 2: Convert to fraction form
    10,512/14,430 = 14,430/x
  3. Step 3: Cross multiply
    10,512x = 14,430 × 14,430
  4. Step 4: Simplify right side
    10,512x = 208,224,900
  5. Step 5: Solve for x
    x = 208,224,900/10,512
  6. Step 6: Final answer
    x = 19,808.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.