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Finding the Third Proportional to 14,156.50 and 29,689.75

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Solution

The third proportional to 14,156.50 and 29,689.75 is: 62,266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,156.50 : 29,689.75 = 29,689.75 : x
  2. Step 2: Convert to fraction form
    14,156.50/29,689.75 = 29,689.75/x
  3. Step 3: Cross multiply
    14,156.50x = 29,689.75 × 29,689.75
  4. Step 4: Simplify right side
    14,156.50x = 881,481,255.06
  5. Step 5: Solve for x
    x = 881,481,255.06/14,156.50
  6. Step 6: Final answer
    x = 62,266.89

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