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Finding the Third Proportional to 32,953.50 and 70,281

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Solution

The third proportional to 32,953.50 and 70,281 is: 149,890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,953.50 : 70,281 = 70,281 : x
  2. Step 2: Convert to fraction form
    32,953.50/70,281 = 70,281/x
  3. Step 3: Cross multiply
    32,953.50x = 70,281 × 70,281
  4. Step 4: Simplify right side
    32,953.50x = 4,939,418,961
  5. Step 5: Solve for x
    x = 4,939,418,961/32,953.50
  6. Step 6: Final answer
    x = 149,890.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.