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Finding the Third Proportional to 25,335 and 37,071

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Solution

The third proportional to 25,335 and 37,071 is: 54,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,335 : 37,071 = 37,071 : x
  2. Step 2: Convert to fraction form
    25,335/37,071 = 37,071/x
  3. Step 3: Cross multiply
    25,335x = 37,071 × 37,071
  4. Step 4: Simplify right side
    25,335x = 1,374,259,041
  5. Step 5: Solve for x
    x = 1,374,259,041/25,335
  6. Step 6: Final answer
    x = 54,243.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.