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Finding the Third Proportional to 46,053.56 and 70,416.84

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Solution

The third proportional to 46,053.56 and 70,416.84 is: 107,668.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,053.56 : 70,416.84 = 70,416.84 : x
  2. Step 2: Convert to fraction form
    46,053.56/70,416.84 = 70,416.84/x
  3. Step 3: Cross multiply
    46,053.56x = 70,416.84 × 70,416.84
  4. Step 4: Simplify right side
    46,053.56x = 4,958,531,883.71
  5. Step 5: Solve for x
    x = 4,958,531,883.71/46,053.56
  6. Step 6: Final answer
    x = 107,668.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.