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Finding the Third Proportional to 16,048.13 and 23,477.91

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Solution

The third proportional to 16,048.13 and 23,477.91 is: 34,347.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,048.13 : 23,477.91 = 23,477.91 : x
  2. Step 2: Convert to fraction form
    16,048.13/23,477.91 = 23,477.91/x
  3. Step 3: Cross multiply
    16,048.13x = 23,477.91 × 23,477.91
  4. Step 4: Simplify right side
    16,048.13x = 551,212,081.88
  5. Step 5: Solve for x
    x = 551,212,081.88/16,048.13
  6. Step 6: Final answer
    x = 34,347.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.