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Finding the Third Proportional to 30,969 and 49,207.50

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Solution

The third proportional to 30,969 and 49,207.50 is: 78,187.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969 : 49,207.50 = 49,207.50 : x
  2. Step 2: Convert to fraction form
    30,969/49,207.50 = 49,207.50/x
  3. Step 3: Cross multiply
    30,969x = 49,207.50 × 49,207.50
  4. Step 4: Simplify right side
    30,969x = 2,421,378,056.25
  5. Step 5: Solve for x
    x = 2,421,378,056.25/30,969
  6. Step 6: Final answer
    x = 78,187.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.