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Finding the Third Proportional to 15,687 and 32,912.25

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Solution

The third proportional to 15,687 and 32,912.25 is: 69,051.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,687 : 32,912.25 = 32,912.25 : x
  2. Step 2: Convert to fraction form
    15,687/32,912.25 = 32,912.25/x
  3. Step 3: Cross multiply
    15,687x = 32,912.25 × 32,912.25
  4. Step 4: Simplify right side
    15,687x = 1,083,216,200.06
  5. Step 5: Solve for x
    x = 1,083,216,200.06/15,687
  6. Step 6: Final answer
    x = 69,051.84

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.