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Finding the Third Proportional to 29,302.50 and 45,441

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Solution

The third proportional to 29,302.50 and 45,441 is: 70,467.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,302.50 : 45,441 = 45,441 : x
  2. Step 2: Convert to fraction form
    29,302.50/45,441 = 45,441/x
  3. Step 3: Cross multiply
    29,302.50x = 45,441 × 45,441
  4. Step 4: Simplify right side
    29,302.50x = 2,064,884,481
  5. Step 5: Solve for x
    x = 2,064,884,481/29,302.50
  6. Step 6: Final answer
    x = 70,467.86

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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.