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Finding the Third Proportional to 20,460.66 and 31,534.88

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Solution

The third proportional to 20,460.66 and 31,534.88 is: 48,602.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,460.66 : 31,534.88 = 31,534.88 : x
  2. Step 2: Convert to fraction form
    20,460.66/31,534.88 = 31,534.88/x
  3. Step 3: Cross multiply
    20,460.66x = 31,534.88 × 31,534.88
  4. Step 4: Simplify right side
    20,460.66x = 994,448,341.27
  5. Step 5: Solve for x
    x = 994,448,341.27/20,460.66
  6. Step 6: Final answer
    x = 48,602.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.