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Finding the Third Proportional to 46,063.69 and 64,675.97

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Solution

The third proportional to 46,063.69 and 64,675.97 is: 90,808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,063.69 : 64,675.97 = 64,675.97 : x
  2. Step 2: Convert to fraction form
    46,063.69/64,675.97 = 64,675.97/x
  3. Step 3: Cross multiply
    46,063.69x = 64,675.97 × 64,675.97
  4. Step 4: Simplify right side
    46,063.69x = 4,182,980,933.75
  5. Step 5: Solve for x
    x = 4,182,980,933.75/46,063.69
  6. Step 6: Final answer
    x = 90,808.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.