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Finding the Third Proportional to 14,590.13 and 22,797.28

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Solution

The third proportional to 14,590.13 and 22,797.28 is: 35,621.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,590.13 : 22,797.28 = 22,797.28 : x
  2. Step 2: Convert to fraction form
    14,590.13/22,797.28 = 22,797.28/x
  3. Step 3: Cross multiply
    14,590.13x = 22,797.28 × 22,797.28
  4. Step 4: Simplify right side
    14,590.13x = 519,716,032.39
  5. Step 5: Solve for x
    x = 519,716,032.39/14,590.13
  6. Step 6: Final answer
    x = 35,621.08

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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.