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Finding the Third Proportional to 32,692.50 and 72,787.50

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Solution

The third proportional to 32,692.50 and 72,787.50 is: 162,056.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,692.50 : 72,787.50 = 72,787.50 : x
  2. Step 2: Convert to fraction form
    32,692.50/72,787.50 = 72,787.50/x
  3. Step 3: Cross multiply
    32,692.50x = 72,787.50 × 72,787.50
  4. Step 4: Simplify right side
    32,692.50x = 5,298,020,156.25
  5. Step 5: Solve for x
    x = 5,298,020,156.25/32,692.50
  6. Step 6: Final answer
    x = 162,056.13

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.