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Finding the Third Proportional to 23,698.13 and 54,862.13

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Solution

The third proportional to 23,698.13 and 54,862.13 is: 127,008.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,698.13 : 54,862.13 = 54,862.13 : x
  2. Step 2: Convert to fraction form
    23,698.13/54,862.13 = 54,862.13/x
  3. Step 3: Cross multiply
    23,698.13x = 54,862.13 × 54,862.13
  4. Step 4: Simplify right side
    23,698.13x = 3,009,852,759.52
  5. Step 5: Solve for x
    x = 3,009,852,759.52/23,698.13
  6. Step 6: Final answer
    x = 127,008.05

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.