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Finding the Third Proportional to 29,382 and 45,610

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Solution

The third proportional to 29,382 and 45,610 is: 70,800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,382 : 45,610 = 45,610 : x
  2. Step 2: Convert to fraction form
    29,382/45,610 = 45,610/x
  3. Step 3: Cross multiply
    29,382x = 45,610 × 45,610
  4. Step 4: Simplify right side
    29,382x = 2,080,272,100
  5. Step 5: Solve for x
    x = 2,080,272,100/29,382
  6. Step 6: Final answer
    x = 70,800.90

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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.