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Finding the Third Proportional to 29,768 and 43,506

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Solution

The third proportional to 29,768 and 43,506 is: 63,584.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,768 : 43,506 = 43,506 : x
  2. Step 2: Convert to fraction form
    29,768/43,506 = 43,506/x
  3. Step 3: Cross multiply
    29,768x = 43,506 × 43,506
  4. Step 4: Simplify right side
    29,768x = 1,892,772,036
  5. Step 5: Solve for x
    x = 1,892,772,036/29,768
  6. Step 6: Final answer
    x = 63,584.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.