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Finding the Third Proportional to 32,434 and 70,545

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Solution

The third proportional to 32,434 and 70,545 is: 153,437.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,434 : 70,545 = 70,545 : x
  2. Step 2: Convert to fraction form
    32,434/70,545 = 70,545/x
  3. Step 3: Cross multiply
    32,434x = 70,545 × 70,545
  4. Step 4: Simplify right side
    32,434x = 4,976,597,025
  5. Step 5: Solve for x
    x = 4,976,597,025/32,434
  6. Step 6: Final answer
    x = 153,437.66

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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.