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Finding the Third Proportional to 14,590.13 and 22,735.13

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Solution

The third proportional to 14,590.13 and 22,735.13 is: 35,427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,590.13 : 22,735.13 = 22,735.13 : x
  2. Step 2: Convert to fraction form
    14,590.13/22,735.13 = 22,735.13/x
  3. Step 3: Cross multiply
    14,590.13x = 22,735.13 × 22,735.13
  4. Step 4: Simplify right side
    14,590.13x = 516,885,908.77
  5. Step 5: Solve for x
    x = 516,885,908.77/14,590.13
  6. Step 6: Final answer
    x = 35,427.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.