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Finding the Third Proportional to 30,911 and 66,749.50

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Solution

The third proportional to 30,911 and 66,749.50 is: 144,139.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,911 : 66,749.50 = 66,749.50 : x
  2. Step 2: Convert to fraction form
    30,911/66,749.50 = 66,749.50/x
  3. Step 3: Cross multiply
    30,911x = 66,749.50 × 66,749.50
  4. Step 4: Simplify right side
    30,911x = 4,455,495,750.25
  5. Step 5: Solve for x
    x = 4,455,495,750.25/30,911
  6. Step 6: Final answer
    x = 144,139.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.