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Finding the Third Proportional to 15,878.25 and 34,492.50

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Solution

The third proportional to 15,878.25 and 34,492.50 is: 74,928.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878.25 : 34,492.50 = 34,492.50 : x
  2. Step 2: Convert to fraction form
    15,878.25/34,492.50 = 34,492.50/x
  3. Step 3: Cross multiply
    15,878.25x = 34,492.50 × 34,492.50
  4. Step 4: Simplify right side
    15,878.25x = 1,189,732,556.25
  5. Step 5: Solve for x
    x = 1,189,732,556.25/15,878.25
  6. Step 6: Final answer
    x = 74,928.44

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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.