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Finding the Third Proportional to 12,952.50 and 28,248

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Solution

The third proportional to 12,952.50 and 28,248 is: 61,605.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.50 : 28,248 = 28,248 : x
  2. Step 2: Convert to fraction form
    12,952.50/28,248 = 28,248/x
  3. Step 3: Cross multiply
    12,952.50x = 28,248 × 28,248
  4. Step 4: Simplify right side
    12,952.50x = 797,949,504
  5. Step 5: Solve for x
    x = 797,949,504/12,952.50
  6. Step 6: Final answer
    x = 61,605.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.