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Finding the Third Proportional to 10,395 and 22,566.94

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Solution

The third proportional to 10,395 and 22,566.94 is: 48,991.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395 : 22,566.94 = 22,566.94 : x
  2. Step 2: Convert to fraction form
    10,395/22,566.94 = 22,566.94/x
  3. Step 3: Cross multiply
    10,395x = 22,566.94 × 22,566.94
  4. Step 4: Simplify right side
    10,395x = 509,266,668.13
  5. Step 5: Solve for x
    x = 509,266,668.13/10,395
  6. Step 6: Final answer
    x = 48,991.50

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1.5x scale

Why These Related Problems?

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