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Finding the Third Proportional to 22,711.64 and 48,894.89

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Solution

The third proportional to 22,711.64 and 48,894.89 is: 105,263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,711.64 : 48,894.89 = 48,894.89 : x
  2. Step 2: Convert to fraction form
    22,711.64/48,894.89 = 48,894.89/x
  3. Step 3: Cross multiply
    22,711.64x = 48,894.89 × 48,894.89
  4. Step 4: Simplify right side
    22,711.64x = 2,390,710,329.23
  5. Step 5: Solve for x
    x = 2,390,710,329.23/22,711.64
  6. Step 6: Final answer
    x = 105,263.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.