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Finding the Third Proportional to 29,389.50 and 42,826

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Solution

The third proportional to 29,389.50 and 42,826 is: 62,405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,389.50 : 42,826 = 42,826 : x
  2. Step 2: Convert to fraction form
    29,389.50/42,826 = 42,826/x
  3. Step 3: Cross multiply
    29,389.50x = 42,826 × 42,826
  4. Step 4: Simplify right side
    29,389.50x = 1,834,066,276
  5. Step 5: Solve for x
    x = 1,834,066,276/29,389.50
  6. Step 6: Final answer
    x = 62,405.49

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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.