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Finding the Third Proportional to 30,121.50 and 64,410

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Solution

The third proportional to 30,121.50 and 64,410 is: 137,730.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,121.50 : 64,410 = 64,410 : x
  2. Step 2: Convert to fraction form
    30,121.50/64,410 = 64,410/x
  3. Step 3: Cross multiply
    30,121.50x = 64,410 × 64,410
  4. Step 4: Simplify right side
    30,121.50x = 4,148,648,100
  5. Step 5: Solve for x
    x = 4,148,648,100/30,121.50
  6. Step 6: Final answer
    x = 137,730.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.