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Finding the Third Proportional to 37,795.50 and 56,326.50

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Solution

The third proportional to 37,795.50 and 56,326.50 is: 83,943.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,795.50 : 56,326.50 = 56,326.50 : x
  2. Step 2: Convert to fraction form
    37,795.50/56,326.50 = 56,326.50/x
  3. Step 3: Cross multiply
    37,795.50x = 56,326.50 × 56,326.50
  4. Step 4: Simplify right side
    37,795.50x = 3,172,674,602.25
  5. Step 5: Solve for x
    x = 3,172,674,602.25/37,795.50
  6. Step 6: Final answer
    x = 83,943.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.