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Finding the Third Proportional to 37,509.75 and 56,666.25

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Solution

The third proportional to 37,509.75 and 56,666.25 is: 85,606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,509.75 : 56,666.25 = 56,666.25 : x
  2. Step 2: Convert to fraction form
    37,509.75/56,666.25 = 56,666.25/x
  3. Step 3: Cross multiply
    37,509.75x = 56,666.25 × 56,666.25
  4. Step 4: Simplify right side
    37,509.75x = 3,211,063,889.06
  5. Step 5: Solve for x
    x = 3,211,063,889.06/37,509.75
  6. Step 6: Final answer
    x = 85,606.11

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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.