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Finding the Third Proportional to 29,232 and 42,756

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Solution

The third proportional to 29,232 and 42,756 is: 62,536.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,232 : 42,756 = 42,756 : x
  2. Step 2: Convert to fraction form
    29,232/42,756 = 42,756/x
  3. Step 3: Cross multiply
    29,232x = 42,756 × 42,756
  4. Step 4: Simplify right side
    29,232x = 1,828,075,536
  5. Step 5: Solve for x
    x = 1,828,075,536/29,232
  6. Step 6: Final answer
    x = 62,536.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.