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Finding the Third Proportional to 13,045 and 28,117

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Solution

The third proportional to 13,045 and 28,117 is: 60,602.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,045 : 28,117 = 28,117 : x
  2. Step 2: Convert to fraction form
    13,045/28,117 = 28,117/x
  3. Step 3: Cross multiply
    13,045x = 28,117 × 28,117
  4. Step 4: Simplify right side
    13,045x = 790,565,689
  5. Step 5: Solve for x
    x = 790,565,689/13,045
  6. Step 6: Final answer
    x = 60,602.97

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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.