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Finding the Third Proportional to 46,635.75 and 87,004.13

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Solution

The third proportional to 46,635.75 and 87,004.13 is: 162,315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,635.75 : 87,004.13 = 87,004.13 : x
  2. Step 2: Convert to fraction form
    46,635.75/87,004.13 = 87,004.13/x
  3. Step 3: Cross multiply
    46,635.75x = 87,004.13 × 87,004.13
  4. Step 4: Simplify right side
    46,635.75x = 7,569,717,767.02
  5. Step 5: Solve for x
    x = 7,569,717,767.02/46,635.75
  6. Step 6: Final answer
    x = 162,315.77

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.