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Finding the Third Proportional to 25,032 and 37,470

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Solution

The third proportional to 25,032 and 37,470 is: 56,088.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,032 : 37,470 = 37,470 : x
  2. Step 2: Convert to fraction form
    25,032/37,470 = 37,470/x
  3. Step 3: Cross multiply
    25,032x = 37,470 × 37,470
  4. Step 4: Simplify right side
    25,032x = 1,404,000,900
  5. Step 5: Solve for x
    x = 1,404,000,900/25,032
  6. Step 6: Final answer
    x = 56,088.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.