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Finding the Third Proportional to 47,497 and 70,513

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Solution

The third proportional to 47,497 and 70,513 is: 104,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,497 : 70,513 = 70,513 : x
  2. Step 2: Convert to fraction form
    47,497/70,513 = 70,513/x
  3. Step 3: Cross multiply
    47,497x = 70,513 × 70,513
  4. Step 4: Simplify right side
    47,497x = 4,972,083,169
  5. Step 5: Solve for x
    x = 4,972,083,169/47,497
  6. Step 6: Final answer
    x = 104,682.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.