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Finding the Third Proportional to 5,812.50 and 12,916.50

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Solution

The third proportional to 5,812.50 and 12,916.50 is: 28,702.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.50 : 12,916.50 = 12,916.50 : x
  2. Step 2: Convert to fraction form
    5,812.50/12,916.50 = 12,916.50/x
  3. Step 3: Cross multiply
    5,812.50x = 12,916.50 × 12,916.50
  4. Step 4: Simplify right side
    5,812.50x = 166,835,972.25
  5. Step 5: Solve for x
    x = 166,835,972.25/5,812.50
  6. Step 6: Final answer
    x = 28,702.96

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.