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Finding the Third Proportional to 10,521 and 23,117.63

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Solution

The third proportional to 10,521 and 23,117.63 is: 50,795.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521 : 23,117.63 = 23,117.63 : x
  2. Step 2: Convert to fraction form
    10,521/23,117.63 = 23,117.63/x
  3. Step 3: Cross multiply
    10,521x = 23,117.63 × 23,117.63
  4. Step 4: Simplify right side
    10,521x = 534,424,585.64
  5. Step 5: Solve for x
    x = 534,424,585.64/10,521
  6. Step 6: Final answer
    x = 50,795.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.