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Finding the Third Proportional to 41,689.13 and 64,649.81

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Solution

The third proportional to 41,689.13 and 64,649.81 is: 100,256.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,689.13 : 64,649.81 = 64,649.81 : x
  2. Step 2: Convert to fraction form
    41,689.13/64,649.81 = 64,649.81/x
  3. Step 3: Cross multiply
    41,689.13x = 64,649.81 × 64,649.81
  4. Step 4: Simplify right side
    41,689.13x = 4,179,598,256.29
  5. Step 5: Solve for x
    x = 4,179,598,256.29/41,689.13
  6. Step 6: Final answer
    x = 100,256.32

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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.