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Finding the Third Proportional to 29,210 and 45,761

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Solution

The third proportional to 29,210 and 45,761 is: 71,690.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,210 : 45,761 = 45,761 : x
  2. Step 2: Convert to fraction form
    29,210/45,761 = 45,761/x
  3. Step 3: Cross multiply
    29,210x = 45,761 × 45,761
  4. Step 4: Simplify right side
    29,210x = 2,094,069,121
  5. Step 5: Solve for x
    x = 2,094,069,121/29,210
  6. Step 6: Final answer
    x = 71,690.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.