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Finding the Third Proportional to 8,312.63 and 17,793.84

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Solution

The third proportional to 8,312.63 and 17,793.84 is: 38,089.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.63 : 17,793.84 = 17,793.84 : x
  2. Step 2: Convert to fraction form
    8,312.63/17,793.84 = 17,793.84/x
  3. Step 3: Cross multiply
    8,312.63x = 17,793.84 × 17,793.84
  4. Step 4: Simplify right side
    8,312.63x = 316,620,875.40
  5. Step 5: Solve for x
    x = 316,620,875.40/8,312.63
  6. Step 6: Final answer
    x = 38,089.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.