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Finding the Third Proportional to 32,925 and 52,303.50

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Solution

The third proportional to 32,925 and 52,303.50 is: 83,087.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,925 : 52,303.50 = 52,303.50 : x
  2. Step 2: Convert to fraction form
    32,925/52,303.50 = 52,303.50/x
  3. Step 3: Cross multiply
    32,925x = 52,303.50 × 52,303.50
  4. Step 4: Simplify right side
    32,925x = 2,735,656,112.25
  5. Step 5: Solve for x
    x = 2,735,656,112.25/32,925
  6. Step 6: Final answer
    x = 83,087.51

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.