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Finding the Third Proportional to 32,710 and 70,604

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Solution

The third proportional to 32,710 and 70,604 is: 152,397.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,710 : 70,604 = 70,604 : x
  2. Step 2: Convert to fraction form
    32,710/70,604 = 70,604/x
  3. Step 3: Cross multiply
    32,710x = 70,604 × 70,604
  4. Step 4: Simplify right side
    32,710x = 4,984,924,816
  5. Step 5: Solve for x
    x = 4,984,924,816/32,710
  6. Step 6: Final answer
    x = 152,397.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.