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Finding the Third Proportional to 29,447 and 45,495

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Solution

The third proportional to 29,447 and 45,495 is: 70,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,447 : 45,495 = 45,495 : x
  2. Step 2: Convert to fraction form
    29,447/45,495 = 45,495/x
  3. Step 3: Cross multiply
    29,447x = 45,495 × 45,495
  4. Step 4: Simplify right side
    29,447x = 2,069,795,025
  5. Step 5: Solve for x
    x = 2,069,795,025/29,447
  6. Step 6: Final answer
    x = 70,288.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.