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Finding the Third Proportional to 7,308 and 15,769.13

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Solution

The third proportional to 7,308 and 15,769.13 is: 34,026.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,308 : 15,769.13 = 15,769.13 : x
  2. Step 2: Convert to fraction form
    7,308/15,769.13 = 15,769.13/x
  3. Step 3: Cross multiply
    7,308x = 15,769.13 × 15,769.13
  4. Step 4: Simplify right side
    7,308x = 248,665,303.27
  5. Step 5: Solve for x
    x = 248,665,303.27/7,308
  6. Step 6: Final answer
    x = 34,026.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.