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Finding the Third Proportional to 14,952.50 and 31,454.25

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Solution

The third proportional to 14,952.50 and 31,454.25 is: 66,167.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,952.50 : 31,454.25 = 31,454.25 : x
  2. Step 2: Convert to fraction form
    14,952.50/31,454.25 = 31,454.25/x
  3. Step 3: Cross multiply
    14,952.50x = 31,454.25 × 31,454.25
  4. Step 4: Simplify right side
    14,952.50x = 989,369,843.06
  5. Step 5: Solve for x
    x = 989,369,843.06/14,952.50
  6. Step 6: Final answer
    x = 66,167.52

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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.