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Finding the Third Proportional to 14,412 and 23,106

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Solution

The third proportional to 14,412 and 23,106 is: 37,044.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412 : 23,106 = 23,106 : x
  2. Step 2: Convert to fraction form
    14,412/23,106 = 23,106/x
  3. Step 3: Cross multiply
    14,412x = 23,106 × 23,106
  4. Step 4: Simplify right side
    14,412x = 533,887,236
  5. Step 5: Solve for x
    x = 533,887,236/14,412
  6. Step 6: Final answer
    x = 37,044.63

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.