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Finding the Third Proportional to 10,698.75 and 15,724.13

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Solution

The third proportional to 10,698.75 and 15,724.13 is: 23,110.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.75 : 15,724.13 = 15,724.13 : x
  2. Step 2: Convert to fraction form
    10,698.75/15,724.13 = 15,724.13/x
  3. Step 3: Cross multiply
    10,698.75x = 15,724.13 × 15,724.13
  4. Step 4: Simplify right side
    10,698.75x = 247,248,107.02
  5. Step 5: Solve for x
    x = 247,248,107.02/10,698.75
  6. Step 6: Final answer
    x = 23,110.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.