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Finding the Third Proportional to 10,032.19 and 21,967.88

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Solution

The third proportional to 10,032.19 and 21,967.88 is: 48,103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.19 : 21,967.88 = 21,967.88 : x
  2. Step 2: Convert to fraction form
    10,032.19/21,967.88 = 21,967.88/x
  3. Step 3: Cross multiply
    10,032.19x = 21,967.88 × 21,967.88
  4. Step 4: Simplify right side
    10,032.19x = 482,587,532.02
  5. Step 5: Solve for x
    x = 482,587,532.02/10,032.19
  6. Step 6: Final answer
    x = 48,103.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.