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Finding the Third Proportional to 32,925.50 and 52,304.25

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Solution

The third proportional to 32,925.50 and 52,304.25 is: 83,088.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,925.50 : 52,304.25 = 52,304.25 : x
  2. Step 2: Convert to fraction form
    32,925.50/52,304.25 = 52,304.25/x
  3. Step 3: Cross multiply
    32,925.50x = 52,304.25 × 52,304.25
  4. Step 4: Simplify right side
    32,925.50x = 2,735,734,568.06
  5. Step 5: Solve for x
    x = 2,735,734,568.06/32,925.50
  6. Step 6: Final answer
    x = 83,088.63

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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.