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Finding the Third Proportional to 14,454 and 31,364.63

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Solution

The third proportional to 14,454 and 31,364.63 is: 68,060.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454 : 31,364.63 = 31,364.63 : x
  2. Step 2: Convert to fraction form
    14,454/31,364.63 = 31,364.63/x
  3. Step 3: Cross multiply
    14,454x = 31,364.63 × 31,364.63
  4. Step 4: Simplify right side
    14,454x = 983,739,701.39
  5. Step 5: Solve for x
    x = 983,739,701.39/14,454
  6. Step 6: Final answer
    x = 68,060.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.