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Finding the Third Proportional to 32,470 and 70,616

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Solution

The third proportional to 32,470 and 70,616 is: 153,576.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,470 : 70,616 = 70,616 : x
  2. Step 2: Convert to fraction form
    32,470/70,616 = 70,616/x
  3. Step 3: Cross multiply
    32,470x = 70,616 × 70,616
  4. Step 4: Simplify right side
    32,470x = 4,986,619,456
  5. Step 5: Solve for x
    x = 4,986,619,456/32,470
  6. Step 6: Final answer
    x = 153,576.21

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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.