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Finding the Third Proportional to 25,081.50 and 37,499.63

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Solution

The third proportional to 25,081.50 and 37,499.63 is: 56,066.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,081.50 : 37,499.63 = 37,499.63 : x
  2. Step 2: Convert to fraction form
    25,081.50/37,499.63 = 37,499.63/x
  3. Step 3: Cross multiply
    25,081.50x = 37,499.63 × 37,499.63
  4. Step 4: Simplify right side
    25,081.50x = 1,406,221,875.14
  5. Step 5: Solve for x
    x = 1,406,221,875.14/25,081.50
  6. Step 6: Final answer
    x = 56,066.10

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Why These Related Problems?

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