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Finding the Third Proportional to 21,498.75 and 31,417.88

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Solution

The third proportional to 21,498.75 and 31,417.88 is: 45,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,498.75 : 31,417.88 = 31,417.88 : x
  2. Step 2: Convert to fraction form
    21,498.75/31,417.88 = 31,417.88/x
  3. Step 3: Cross multiply
    21,498.75x = 31,417.88 × 31,417.88
  4. Step 4: Simplify right side
    21,498.75x = 987,082,869.52
  5. Step 5: Solve for x
    x = 987,082,869.52/21,498.75
  6. Step 6: Final answer
    x = 45,913.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.