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Finding the Third Proportional to 23,943.13 and 48,569.75

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Solution

The third proportional to 23,943.13 and 48,569.75 is: 98,526.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,943.13 : 48,569.75 = 48,569.75 : x
  2. Step 2: Convert to fraction form
    23,943.13/48,569.75 = 48,569.75/x
  3. Step 3: Cross multiply
    23,943.13x = 48,569.75 × 48,569.75
  4. Step 4: Simplify right side
    23,943.13x = 2,359,020,615.06
  5. Step 5: Solve for x
    x = 2,359,020,615.06/23,943.13
  6. Step 6: Final answer
    x = 98,526.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.