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Finding the Third Proportional to 7,309 and 15,785

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Solution

The third proportional to 7,309 and 15,785 is: 34,090.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309 : 15,785 = 15,785 : x
  2. Step 2: Convert to fraction form
    7,309/15,785 = 15,785/x
  3. Step 3: Cross multiply
    7,309x = 15,785 × 15,785
  4. Step 4: Simplify right side
    7,309x = 249,166,225
  5. Step 5: Solve for x
    x = 249,166,225/7,309
  6. Step 6: Final answer
    x = 34,090.33

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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.