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Finding the Third Proportional to 19,085.63 and 37,381.50

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Solution

The third proportional to 19,085.63 and 37,381.50 is: 73,216.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,085.63 : 37,381.50 = 37,381.50 : x
  2. Step 2: Convert to fraction form
    19,085.63/37,381.50 = 37,381.50/x
  3. Step 3: Cross multiply
    19,085.63x = 37,381.50 × 37,381.50
  4. Step 4: Simplify right side
    19,085.63x = 1,397,376,542.25
  5. Step 5: Solve for x
    x = 1,397,376,542.25/19,085.63
  6. Step 6: Final answer
    x = 73,216.18

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These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.