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Finding the Third Proportional to 45,567 and 61,303.50

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Solution

The third proportional to 45,567 and 61,303.50 is: 82,474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,567 : 61,303.50 = 61,303.50 : x
  2. Step 2: Convert to fraction form
    45,567/61,303.50 = 61,303.50/x
  3. Step 3: Cross multiply
    45,567x = 61,303.50 × 61,303.50
  4. Step 4: Simplify right side
    45,567x = 3,758,119,112.25
  5. Step 5: Solve for x
    x = 3,758,119,112.25/45,567
  6. Step 6: Final answer
    x = 82,474.58

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.