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Finding the Third Proportional to 15,107.50 and 32,810.50

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Solution

The third proportional to 15,107.50 and 32,810.50 is: 71,257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,107.50 : 32,810.50 = 32,810.50 : x
  2. Step 2: Convert to fraction form
    15,107.50/32,810.50 = 32,810.50/x
  3. Step 3: Cross multiply
    15,107.50x = 32,810.50 × 32,810.50
  4. Step 4: Simplify right side
    15,107.50x = 1,076,528,910.25
  5. Step 5: Solve for x
    x = 1,076,528,910.25/15,107.50
  6. Step 6: Final answer
    x = 71,257.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.