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Finding the Third Proportional to 32,679 and 46,018.13

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Solution

The third proportional to 32,679 and 46,018.13 is: 64,802.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,679 : 46,018.13 = 46,018.13 : x
  2. Step 2: Convert to fraction form
    32,679/46,018.13 = 46,018.13/x
  3. Step 3: Cross multiply
    32,679x = 46,018.13 × 46,018.13
  4. Step 4: Simplify right side
    32,679x = 2,117,667,828.52
  5. Step 5: Solve for x
    x = 2,117,667,828.52/32,679
  6. Step 6: Final answer
    x = 64,802.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.