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Finding the Third Proportional to 10,575 and 22,521.75

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Solution

The third proportional to 10,575 and 22,521.75 is: 47,964.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575 : 22,521.75 = 22,521.75 : x
  2. Step 2: Convert to fraction form
    10,575/22,521.75 = 22,521.75/x
  3. Step 3: Cross multiply
    10,575x = 22,521.75 × 22,521.75
  4. Step 4: Simplify right side
    10,575x = 507,229,223.06
  5. Step 5: Solve for x
    x = 507,229,223.06/10,575
  6. Step 6: Final answer
    x = 47,964.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.