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Finding the Third Proportional to 29,953.50 and 45,477

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Solution

The third proportional to 29,953.50 and 45,477 is: 69,045.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,953.50 : 45,477 = 45,477 : x
  2. Step 2: Convert to fraction form
    29,953.50/45,477 = 45,477/x
  3. Step 3: Cross multiply
    29,953.50x = 45,477 × 45,477
  4. Step 4: Simplify right side
    29,953.50x = 2,068,157,529
  5. Step 5: Solve for x
    x = 2,068,157,529/29,953.50
  6. Step 6: Final answer
    x = 69,045.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.