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Finding the Third Proportional to 29,357 and 45,476

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Solution

The third proportional to 29,357 and 45,476 is: 70,445.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,357 : 45,476 = 45,476 : x
  2. Step 2: Convert to fraction form
    29,357/45,476 = 45,476/x
  3. Step 3: Cross multiply
    29,357x = 45,476 × 45,476
  4. Step 4: Simplify right side
    29,357x = 2,068,066,576
  5. Step 5: Solve for x
    x = 2,068,066,576/29,357
  6. Step 6: Final answer
    x = 70,445.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.