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Finding the Third Proportional to 16,649.06 and 35,417.06

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Solution

The third proportional to 16,649.06 and 35,417.06 is: 75,341.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,649.06 : 35,417.06 = 35,417.06 : x
  2. Step 2: Convert to fraction form
    16,649.06/35,417.06 = 35,417.06/x
  3. Step 3: Cross multiply
    16,649.06x = 35,417.06 × 35,417.06
  4. Step 4: Simplify right side
    16,649.06x = 1,254,368,316.13
  5. Step 5: Solve for x
    x = 1,254,368,316.13/16,649.06
  6. Step 6: Final answer
    x = 75,341.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.