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Finding the Third Proportional to 22,430.25 and 34,430.91

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Solution

The third proportional to 22,430.25 and 34,430.91 is: 52,852.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,430.25 : 34,430.91 = 34,430.91 : x
  2. Step 2: Convert to fraction form
    22,430.25/34,430.91 = 34,430.91/x
  3. Step 3: Cross multiply
    22,430.25x = 34,430.91 × 34,430.91
  4. Step 4: Simplify right side
    22,430.25x = 1,185,487,305.20
  5. Step 5: Solve for x
    x = 1,185,487,305.20/22,430.25
  6. Step 6: Final answer
    x = 52,852.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.