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Finding the Third Proportional to 10,048.13 and 21,768.55

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Solution

The third proportional to 10,048.13 and 21,768.55 is: 47,159.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.13 : 21,768.55 = 21,768.55 : x
  2. Step 2: Convert to fraction form
    10,048.13/21,768.55 = 21,768.55/x
  3. Step 3: Cross multiply
    10,048.13x = 21,768.55 × 21,768.55
  4. Step 4: Simplify right side
    10,048.13x = 473,869,866.89
  5. Step 5: Solve for x
    x = 473,869,866.89/10,048.13
  6. Step 6: Final answer
    x = 47,159.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.