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Finding the Third Proportional to 29,534 and 42,645

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Solution

The third proportional to 29,534 and 42,645 is: 61,576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,534 : 42,645 = 42,645 : x
  2. Step 2: Convert to fraction form
    29,534/42,645 = 42,645/x
  3. Step 3: Cross multiply
    29,534x = 42,645 × 42,645
  4. Step 4: Simplify right side
    29,534x = 1,818,596,025
  5. Step 5: Solve for x
    x = 1,818,596,025/29,534
  6. Step 6: Final answer
    x = 61,576.35

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.