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Finding the Third Proportional to 29,307 and 45,447

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Solution

The third proportional to 29,307 and 45,447 is: 70,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,307 : 45,447 = 45,447 : x
  2. Step 2: Convert to fraction form
    29,307/45,447 = 45,447/x
  3. Step 3: Cross multiply
    29,307x = 45,447 × 45,447
  4. Step 4: Simplify right side
    29,307x = 2,065,429,809
  5. Step 5: Solve for x
    x = 2,065,429,809/29,307
  6. Step 6: Final answer
    x = 70,475.65

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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.