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Finding the Third Proportional to 25,310 and 58,594

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Solution

The third proportional to 25,310 and 58,594 is: 135,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,310 : 58,594 = 58,594 : x
  2. Step 2: Convert to fraction form
    25,310/58,594 = 58,594/x
  3. Step 3: Cross multiply
    25,310x = 58,594 × 58,594
  4. Step 4: Simplify right side
    25,310x = 3,433,256,836
  5. Step 5: Solve for x
    x = 3,433,256,836/25,310
  6. Step 6: Final answer
    x = 135,648.24

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