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Finding the Third Proportional to 47,356 and 70,708

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Solution

The third proportional to 47,356 and 70,708 is: 105,575.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,356 : 70,708 = 70,708 : x
  2. Step 2: Convert to fraction form
    47,356/70,708 = 70,708/x
  3. Step 3: Cross multiply
    47,356x = 70,708 × 70,708
  4. Step 4: Simplify right side
    47,356x = 4,999,621,264
  5. Step 5: Solve for x
    x = 4,999,621,264/47,356
  6. Step 6: Final answer
    x = 105,575.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.