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Finding the Third Proportional to 26,309 and 40,246.50

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Solution

The third proportional to 26,309 and 40,246.50 is: 61,567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,309 : 40,246.50 = 40,246.50 : x
  2. Step 2: Convert to fraction form
    26,309/40,246.50 = 40,246.50/x
  3. Step 3: Cross multiply
    26,309x = 40,246.50 × 40,246.50
  4. Step 4: Simplify right side
    26,309x = 1,619,780,762.25
  5. Step 5: Solve for x
    x = 1,619,780,762.25/26,309
  6. Step 6: Final answer
    x = 61,567.55

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.