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Finding the Third Proportional to 6,569.86 and 9,923.13

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Solution

The third proportional to 6,569.86 and 9,923.13 is: 14,987.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.86 : 9,923.13 = 9,923.13 : x
  2. Step 2: Convert to fraction form
    6,569.86/9,923.13 = 9,923.13/x
  3. Step 3: Cross multiply
    6,569.86x = 9,923.13 × 9,923.13
  4. Step 4: Simplify right side
    6,569.86x = 98,468,564.81
  5. Step 5: Solve for x
    x = 98,468,564.81/6,569.86
  6. Step 6: Final answer
    x = 14,987.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.