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Finding the Third Proportional to 25,476.50 and 36,695.88

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Solution

The third proportional to 25,476.50 and 36,695.88 is: 52,856.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,476.50 : 36,695.88 = 36,695.88 : x
  2. Step 2: Convert to fraction form
    25,476.50/36,695.88 = 36,695.88/x
  3. Step 3: Cross multiply
    25,476.50x = 36,695.88 × 36,695.88
  4. Step 4: Simplify right side
    25,476.50x = 1,346,587,242.02
  5. Step 5: Solve for x
    x = 1,346,587,242.02/25,476.50
  6. Step 6: Final answer
    x = 52,856.05

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.