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Finding the Third Proportional to 29,253 and 57,047

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Solution

The third proportional to 29,253 and 57,047 is: 111,248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,253 : 57,047 = 57,047 : x
  2. Step 2: Convert to fraction form
    29,253/57,047 = 57,047/x
  3. Step 3: Cross multiply
    29,253x = 57,047 × 57,047
  4. Step 4: Simplify right side
    29,253x = 3,254,360,209
  5. Step 5: Solve for x
    x = 3,254,360,209/29,253
  6. Step 6: Final answer
    x = 111,248.77

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.