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Finding the Third Proportional to 32,748 and 76,977

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Solution

The third proportional to 32,748 and 76,977 is: 180,941.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,748 : 76,977 = 76,977 : x
  2. Step 2: Convert to fraction form
    32,748/76,977 = 76,977/x
  3. Step 3: Cross multiply
    32,748x = 76,977 × 76,977
  4. Step 4: Simplify right side
    32,748x = 5,925,458,529
  5. Step 5: Solve for x
    x = 5,925,458,529/32,748
  6. Step 6: Final answer
    x = 180,941.08

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.