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Finding the Third Proportional to 1,931.63 and 4,136.55

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Solution

The third proportional to 1,931.63 and 4,136.55 is: 8,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.63 : 4,136.55 = 4,136.55 : x
  2. Step 2: Convert to fraction form
    1,931.63/4,136.55 = 4,136.55/x
  3. Step 3: Cross multiply
    1,931.63x = 4,136.55 × 4,136.55
  4. Step 4: Simplify right side
    1,931.63x = 17,111,084.68
  5. Step 5: Solve for x
    x = 17,111,084.68/1,931.63
  6. Step 6: Final answer
    x = 8,858.39

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.