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Finding the Third Proportional to 29,056 and 40,915

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Solution

The third proportional to 29,056 and 40,915 is: 57,614.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,056 : 40,915 = 40,915 : x
  2. Step 2: Convert to fraction form
    29,056/40,915 = 40,915/x
  3. Step 3: Cross multiply
    29,056x = 40,915 × 40,915
  4. Step 4: Simplify right side
    29,056x = 1,674,037,225
  5. Step 5: Solve for x
    x = 1,674,037,225/29,056
  6. Step 6: Final answer
    x = 57,614.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.