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Finding the Third Proportional to 30,014.25 and 64,476

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Solution

The third proportional to 30,014.25 and 64,476 is: 138,506.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,014.25 : 64,476 = 64,476 : x
  2. Step 2: Convert to fraction form
    30,014.25/64,476 = 64,476/x
  3. Step 3: Cross multiply
    30,014.25x = 64,476 × 64,476
  4. Step 4: Simplify right side
    30,014.25x = 4,157,154,576
  5. Step 5: Solve for x
    x = 4,157,154,576/30,014.25
  6. Step 6: Final answer
    x = 138,506.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.