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Finding the Third Proportional to 29,475 and 45,073

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Solution

The third proportional to 29,475 and 45,073 is: 68,925.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,475 : 45,073 = 45,073 : x
  2. Step 2: Convert to fraction form
    29,475/45,073 = 45,073/x
  3. Step 3: Cross multiply
    29,475x = 45,073 × 45,073
  4. Step 4: Simplify right side
    29,475x = 2,031,575,329
  5. Step 5: Solve for x
    x = 2,031,575,329/29,475
  6. Step 6: Final answer
    x = 68,925.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.