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Finding the Third Proportional to 30,264 and 64,132.50

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Solution

The third proportional to 30,264 and 64,132.50 is: 135,903.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,264 : 64,132.50 = 64,132.50 : x
  2. Step 2: Convert to fraction form
    30,264/64,132.50 = 64,132.50/x
  3. Step 3: Cross multiply
    30,264x = 64,132.50 × 64,132.50
  4. Step 4: Simplify right side
    30,264x = 4,112,977,556.25
  5. Step 5: Solve for x
    x = 4,112,977,556.25/30,264
  6. Step 6: Final answer
    x = 135,903.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.