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Finding the Third Proportional to 37,435.50 and 56,543.06

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Solution

The third proportional to 37,435.50 and 56,543.06 is: 85,403.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,435.50 : 56,543.06 = 56,543.06 : x
  2. Step 2: Convert to fraction form
    37,435.50/56,543.06 = 56,543.06/x
  3. Step 3: Cross multiply
    37,435.50x = 56,543.06 × 56,543.06
  4. Step 4: Simplify right side
    37,435.50x = 3,197,117,916.88
  5. Step 5: Solve for x
    x = 3,197,117,916.88/37,435.50
  6. Step 6: Final answer
    x = 85,403.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.