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Finding the Third Proportional to 30,461.63 and 70,513.88

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Solution

The third proportional to 30,461.63 and 70,513.88 is: 163,228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,461.63 : 70,513.88 = 70,513.88 : x
  2. Step 2: Convert to fraction form
    30,461.63/70,513.88 = 70,513.88/x
  3. Step 3: Cross multiply
    30,461.63x = 70,513.88 × 70,513.88
  4. Step 4: Simplify right side
    30,461.63x = 4,972,206,567.52
  5. Step 5: Solve for x
    x = 4,972,206,567.52/30,461.63
  6. Step 6: Final answer
    x = 163,228.54

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.