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Finding the Third Proportional to 32,482 and 70,842

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Solution

The third proportional to 32,482 and 70,842 is: 154,503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,482 : 70,842 = 70,842 : x
  2. Step 2: Convert to fraction form
    32,482/70,842 = 70,842/x
  3. Step 3: Cross multiply
    32,482x = 70,842 × 70,842
  4. Step 4: Simplify right side
    32,482x = 5,018,588,964
  5. Step 5: Solve for x
    x = 5,018,588,964/32,482
  6. Step 6: Final answer
    x = 154,503.69

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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.