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Finding the Third Proportional to 2,810.95 and 4,124.67

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Solution

The third proportional to 2,810.95 and 4,124.67 is: 6,052.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.95 : 4,124.67 = 4,124.67 : x
  2. Step 2: Convert to fraction form
    2,810.95/4,124.67 = 4,124.67/x
  3. Step 3: Cross multiply
    2,810.95x = 4,124.67 × 4,124.67
  4. Step 4: Simplify right side
    2,810.95x = 17,012,918.08
  5. Step 5: Solve for x
    x = 17,012,918.08/2,810.95
  6. Step 6: Final answer
    x = 6,052.37

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.