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Finding the Third Proportional to 32,574 and 70,977

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Solution

The third proportional to 32,574 and 70,977 is: 154,655.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,574 : 70,977 = 70,977 : x
  2. Step 2: Convert to fraction form
    32,574/70,977 = 70,977/x
  3. Step 3: Cross multiply
    32,574x = 70,977 × 70,977
  4. Step 4: Simplify right side
    32,574x = 5,037,734,529
  5. Step 5: Solve for x
    x = 5,037,734,529/32,574
  6. Step 6: Final answer
    x = 154,655.08

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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.