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Finding the Third Proportional to 7,807.50 and 11,712

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Solution

The third proportional to 7,807.50 and 11,712 is: 17,569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.50 : 11,712 = 11,712 : x
  2. Step 2: Convert to fraction form
    7,807.50/11,712 = 11,712/x
  3. Step 3: Cross multiply
    7,807.50x = 11,712 × 11,712
  4. Step 4: Simplify right side
    7,807.50x = 137,170,944
  5. Step 5: Solve for x
    x = 137,170,944/7,807.50
  6. Step 6: Final answer
    x = 17,569.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.