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Finding the Third Proportional to 7,875 and 11,296.13

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Solution

The third proportional to 7,875 and 11,296.13 is: 16,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875 : 11,296.13 = 11,296.13 : x
  2. Step 2: Convert to fraction form
    7,875/11,296.13 = 11,296.13/x
  3. Step 3: Cross multiply
    7,875x = 11,296.13 × 11,296.13
  4. Step 4: Simplify right side
    7,875x = 127,602,440.02
  5. Step 5: Solve for x
    x = 127,602,440.02/7,875
  6. Step 6: Final answer
    x = 16,203.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.