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Finding the Third Proportional to 25,710.75 and 38,840.06

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Solution

The third proportional to 25,710.75 and 38,840.06 is: 58,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,710.75 : 38,840.06 = 38,840.06 : x
  2. Step 2: Convert to fraction form
    25,710.75/38,840.06 = 38,840.06/x
  3. Step 3: Cross multiply
    25,710.75x = 38,840.06 × 38,840.06
  4. Step 4: Simplify right side
    25,710.75x = 1,508,550,455.00
  5. Step 5: Solve for x
    x = 1,508,550,455.00/25,710.75
  6. Step 6: Final answer
    x = 58,673.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.