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Finding the Third Proportional to 10,569.75 and 15,820.13

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Solution

The third proportional to 10,569.75 and 15,820.13 is: 23,678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.75 : 15,820.13 = 15,820.13 : x
  2. Step 2: Convert to fraction form
    10,569.75/15,820.13 = 15,820.13/x
  3. Step 3: Cross multiply
    10,569.75x = 15,820.13 × 15,820.13
  4. Step 4: Simplify right side
    10,569.75x = 250,276,355.02
  5. Step 5: Solve for x
    x = 250,276,355.02/10,569.75
  6. Step 6: Final answer
    x = 23,678.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.