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Finding the Third Proportional to 15,035.25 and 32,477.25

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Solution

The third proportional to 15,035.25 and 32,477.25 is: 70,153.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,035.25 : 32,477.25 = 32,477.25 : x
  2. Step 2: Convert to fraction form
    15,035.25/32,477.25 = 32,477.25/x
  3. Step 3: Cross multiply
    15,035.25x = 32,477.25 × 32,477.25
  4. Step 4: Simplify right side
    15,035.25x = 1,054,771,767.56
  5. Step 5: Solve for x
    x = 1,054,771,767.56/15,035.25
  6. Step 6: Final answer
    x = 70,153.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.