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Finding the Third Proportional to 25,160 and 37,748

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Solution

The third proportional to 25,160 and 37,748 is: 56,634.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,160 : 37,748 = 37,748 : x
  2. Step 2: Convert to fraction form
    25,160/37,748 = 37,748/x
  3. Step 3: Cross multiply
    25,160x = 37,748 × 37,748
  4. Step 4: Simplify right side
    25,160x = 1,424,911,504
  5. Step 5: Solve for x
    x = 1,424,911,504/25,160
  6. Step 6: Final answer
    x = 56,634.00

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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.