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Finding the Third Proportional to 30,143.39 and 64,438.45

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Solution

The third proportional to 30,143.39 and 64,438.45 is: 137,752.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,143.39 : 64,438.45 = 64,438.45 : x
  2. Step 2: Convert to fraction form
    30,143.39/64,438.45 = 64,438.45/x
  3. Step 3: Cross multiply
    30,143.39x = 64,438.45 × 64,438.45
  4. Step 4: Simplify right side
    30,143.39x = 4,152,314,241.14
  5. Step 5: Solve for x
    x = 4,152,314,241.14/30,143.39
  6. Step 6: Final answer
    x = 137,752.06

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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.