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Finding the Third Proportional to 5,030 and 11,585

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Solution

The third proportional to 5,030 and 11,585 is: 26,682.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,030 : 11,585 = 11,585 : x
  2. Step 2: Convert to fraction form
    5,030/11,585 = 11,585/x
  3. Step 3: Cross multiply
    5,030x = 11,585 × 11,585
  4. Step 4: Simplify right side
    5,030x = 134,212,225
  5. Step 5: Solve for x
    x = 134,212,225/5,030
  6. Step 6: Final answer
    x = 26,682.35

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.