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Finding the Third Proportional to 25,102.88 and 37,655.63

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Solution

The third proportional to 25,102.88 and 37,655.63 is: 56,485.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,102.88 : 37,655.63 = 37,655.63 : x
  2. Step 2: Convert to fraction form
    25,102.88/37,655.63 = 37,655.63/x
  3. Step 3: Cross multiply
    25,102.88x = 37,655.63 × 37,655.63
  4. Step 4: Simplify right side
    25,102.88x = 1,417,946,094.14
  5. Step 5: Solve for x
    x = 1,417,946,094.14/25,102.88
  6. Step 6: Final answer
    x = 56,485.41

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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.