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Finding the Third Proportional to 14,953 and 31,454

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Solution

The third proportional to 14,953 and 31,454 is: 66,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,953 : 31,454 = 31,454 : x
  2. Step 2: Convert to fraction form
    14,953/31,454 = 31,454/x
  3. Step 3: Cross multiply
    14,953x = 31,454 × 31,454
  4. Step 4: Simplify right side
    14,953x = 989,354,116
  5. Step 5: Solve for x
    x = 989,354,116/14,953
  6. Step 6: Final answer
    x = 66,164.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.