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Finding the Third Proportional to 25,590 and 52,445

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Solution

The third proportional to 25,590 and 52,445 is: 107,482.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,590 : 52,445 = 52,445 : x
  2. Step 2: Convert to fraction form
    25,590/52,445 = 52,445/x
  3. Step 3: Cross multiply
    25,590x = 52,445 × 52,445
  4. Step 4: Simplify right side
    25,590x = 2,750,478,025
  5. Step 5: Solve for x
    x = 2,750,478,025/25,590
  6. Step 6: Final answer
    x = 107,482.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.