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Finding the Third Proportional to 29,746.41 and 64,918.97

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Solution

The third proportional to 29,746.41 and 64,918.97 is: 141,680.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,746.41 : 64,918.97 = 64,918.97 : x
  2. Step 2: Convert to fraction form
    29,746.41/64,918.97 = 64,918.97/x
  3. Step 3: Cross multiply
    29,746.41x = 64,918.97 × 64,918.97
  4. Step 4: Simplify right side
    29,746.41x = 4,214,472,503.56
  5. Step 5: Solve for x
    x = 4,214,472,503.56/29,746.41
  6. Step 6: Final answer
    x = 141,680.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.