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Finding the Third Proportional to 5,585 and 12,076

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Solution

The third proportional to 5,585 and 12,076 is: 26,110.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585 : 12,076 = 12,076 : x
  2. Step 2: Convert to fraction form
    5,585/12,076 = 12,076/x
  3. Step 3: Cross multiply
    5,585x = 12,076 × 12,076
  4. Step 4: Simplify right side
    5,585x = 145,829,776
  5. Step 5: Solve for x
    x = 145,829,776/5,585
  6. Step 6: Final answer
    x = 26,110.97

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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.