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Finding the Third Proportional to 29,532.09 and 45,391.64

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Solution

The third proportional to 29,532.09 and 45,391.64 is: 69,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,532.09 : 45,391.64 = 45,391.64 : x
  2. Step 2: Convert to fraction form
    29,532.09/45,391.64 = 45,391.64/x
  3. Step 3: Cross multiply
    29,532.09x = 45,391.64 × 45,391.64
  4. Step 4: Simplify right side
    29,532.09x = 2,060,401,038.63
  5. Step 5: Solve for x
    x = 2,060,401,038.63/29,532.09
  6. Step 6: Final answer
    x = 69,768.20

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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.