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Finding the Third Proportional to 10,470.52 and 22,823.65

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Solution

The third proportional to 10,470.52 and 22,823.65 is: 49,751.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.52 : 22,823.65 = 22,823.65 : x
  2. Step 2: Convert to fraction form
    10,470.52/22,823.65 = 22,823.65/x
  3. Step 3: Cross multiply
    10,470.52x = 22,823.65 × 22,823.65
  4. Step 4: Simplify right side
    10,470.52x = 520,918,928.00
  5. Step 5: Solve for x
    x = 520,918,928.00/10,470.52
  6. Step 6: Final answer
    x = 49,751.03

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.