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Finding the Third Proportional to 22,378.78 and 47,088.84

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Solution

The third proportional to 22,378.78 and 47,088.84 is: 99,083.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378.78 : 47,088.84 = 47,088.84 : x
  2. Step 2: Convert to fraction form
    22,378.78/47,088.84 = 47,088.84/x
  3. Step 3: Cross multiply
    22,378.78x = 47,088.84 × 47,088.84
  4. Step 4: Simplify right side
    22,378.78x = 2,217,359,205.71
  5. Step 5: Solve for x
    x = 2,217,359,205.71/22,378.78
  6. Step 6: Final answer
    x = 99,083.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.