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Finding the Third Proportional to 30,024 and 63,740.25

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Solution

The third proportional to 30,024 and 63,740.25 is: 135,319.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,024 : 63,740.25 = 63,740.25 : x
  2. Step 2: Convert to fraction form
    30,024/63,740.25 = 63,740.25/x
  3. Step 3: Cross multiply
    30,024x = 63,740.25 × 63,740.25
  4. Step 4: Simplify right side
    30,024x = 4,062,819,470.06
  5. Step 5: Solve for x
    x = 4,062,819,470.06/30,024
  6. Step 6: Final answer
    x = 135,319.06

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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.