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Finding the Third Proportional to 32,106.25 and 42,601.25

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Solution

The third proportional to 32,106.25 and 42,601.25 is: 56,526.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,106.25 : 42,601.25 = 42,601.25 : x
  2. Step 2: Convert to fraction form
    32,106.25/42,601.25 = 42,601.25/x
  3. Step 3: Cross multiply
    32,106.25x = 42,601.25 × 42,601.25
  4. Step 4: Simplify right side
    32,106.25x = 1,814,866,501.56
  5. Step 5: Solve for x
    x = 1,814,866,501.56/32,106.25
  6. Step 6: Final answer
    x = 56,526.89

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.