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Finding the Third Proportional to 25,303 and 37,750

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Solution

The third proportional to 25,303 and 37,750 is: 56,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,303 : 37,750 = 37,750 : x
  2. Step 2: Convert to fraction form
    25,303/37,750 = 37,750/x
  3. Step 3: Cross multiply
    25,303x = 37,750 × 37,750
  4. Step 4: Simplify right side
    25,303x = 1,425,062,500
  5. Step 5: Solve for x
    x = 1,425,062,500/25,303
  6. Step 6: Final answer
    x = 56,319.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.