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Finding the Third Proportional to 37,699.88 and 78,501.38

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Solution

The third proportional to 37,699.88 and 78,501.38 is: 163,461.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,699.88 : 78,501.38 = 78,501.38 : x
  2. Step 2: Convert to fraction form
    37,699.88/78,501.38 = 78,501.38/x
  3. Step 3: Cross multiply
    37,699.88x = 78,501.38 × 78,501.38
  4. Step 4: Simplify right side
    37,699.88x = 6,162,465,876.89
  5. Step 5: Solve for x
    x = 6,162,465,876.89/37,699.88
  6. Step 6: Final answer
    x = 163,461.18

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.