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Finding the Third Proportional to 44,461.41 and 65,026.55

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Solution

The third proportional to 44,461.41 and 65,026.55 is: 95,103.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,461.41 : 65,026.55 = 65,026.55 : x
  2. Step 2: Convert to fraction form
    44,461.41/65,026.55 = 65,026.55/x
  3. Step 3: Cross multiply
    44,461.41x = 65,026.55 × 65,026.55
  4. Step 4: Simplify right side
    44,461.41x = 4,228,451,798.49
  5. Step 5: Solve for x
    x = 4,228,451,798.49/44,461.41
  6. Step 6: Final answer
    x = 95,103.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.