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Finding the Third Proportional to 32,057 and 70,018

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Solution

The third proportional to 32,057 and 70,018 is: 152,931.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,057 : 70,018 = 70,018 : x
  2. Step 2: Convert to fraction form
    32,057/70,018 = 70,018/x
  3. Step 3: Cross multiply
    32,057x = 70,018 × 70,018
  4. Step 4: Simplify right side
    32,057x = 4,902,520,324
  5. Step 5: Solve for x
    x = 4,902,520,324/32,057
  6. Step 6: Final answer
    x = 152,931.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.