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Finding the Third Proportional to 39,429.50 and 86,492.75

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Solution

The third proportional to 39,429.50 and 86,492.75 is: 189,730.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,429.50 : 86,492.75 = 86,492.75 : x
  2. Step 2: Convert to fraction form
    39,429.50/86,492.75 = 86,492.75/x
  3. Step 3: Cross multiply
    39,429.50x = 86,492.75 × 86,492.75
  4. Step 4: Simplify right side
    39,429.50x = 7,480,995,802.56
  5. Step 5: Solve for x
    x = 7,480,995,802.56/39,429.50
  6. Step 6: Final answer
    x = 189,730.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.