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Finding the Third Proportional to 32,257.50 and 70,710

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Solution

The third proportional to 32,257.50 and 70,710 is: 154,999.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,257.50 : 70,710 = 70,710 : x
  2. Step 2: Convert to fraction form
    32,257.50/70,710 = 70,710/x
  3. Step 3: Cross multiply
    32,257.50x = 70,710 × 70,710
  4. Step 4: Simplify right side
    32,257.50x = 4,999,904,100
  5. Step 5: Solve for x
    x = 4,999,904,100/32,257.50
  6. Step 6: Final answer
    x = 154,999.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.