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Finding the Third Proportional to 9,073.13 and 18,977.91

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Solution

The third proportional to 9,073.13 and 18,977.91 is: 39,695.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,073.13 : 18,977.91 = 18,977.91 : x
  2. Step 2: Convert to fraction form
    9,073.13/18,977.91 = 18,977.91/x
  3. Step 3: Cross multiply
    9,073.13x = 18,977.91 × 18,977.91
  4. Step 4: Simplify right side
    9,073.13x = 360,160,925.63
  5. Step 5: Solve for x
    x = 360,160,925.63/9,073.13
  6. Step 6: Final answer
    x = 39,695.36

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.