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Finding the Third Proportional to 14,254.50 and 21,300

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Solution

The third proportional to 14,254.50 and 21,300 is: 31,827.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,254.50 : 21,300 = 21,300 : x
  2. Step 2: Convert to fraction form
    14,254.50/21,300 = 21,300/x
  3. Step 3: Cross multiply
    14,254.50x = 21,300 × 21,300
  4. Step 4: Simplify right side
    14,254.50x = 453,690,000
  5. Step 5: Solve for x
    x = 453,690,000/14,254.50
  6. Step 6: Final answer
    x = 31,827.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.