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Finding the Third Proportional to 25,335.75 and 58,646.25

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Solution

The third proportional to 25,335.75 and 58,646.25 is: 135,752.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,335.75 : 58,646.25 = 58,646.25 : x
  2. Step 2: Convert to fraction form
    25,335.75/58,646.25 = 58,646.25/x
  3. Step 3: Cross multiply
    25,335.75x = 58,646.25 × 58,646.25
  4. Step 4: Simplify right side
    25,335.75x = 3,439,382,639.06
  5. Step 5: Solve for x
    x = 3,439,382,639.06/25,335.75
  6. Step 6: Final answer
    x = 135,752.15

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.