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Finding the Third Proportional to 32,546 and 70,708

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Solution

The third proportional to 32,546 and 70,708 is: 153,617.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,546 : 70,708 = 70,708 : x
  2. Step 2: Convert to fraction form
    32,546/70,708 = 70,708/x
  3. Step 3: Cross multiply
    32,546x = 70,708 × 70,708
  4. Step 4: Simplify right side
    32,546x = 4,999,621,264
  5. Step 5: Solve for x
    x = 4,999,621,264/32,546
  6. Step 6: Final answer
    x = 153,617.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.