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Finding the Third Proportional to 15,101 and 32,038

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Solution

The third proportional to 15,101 and 32,038 is: 67,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,101 : 32,038 = 32,038 : x
  2. Step 2: Convert to fraction form
    15,101/32,038 = 32,038/x
  3. Step 3: Cross multiply
    15,101x = 32,038 × 32,038
  4. Step 4: Simplify right side
    15,101x = 1,026,433,444
  5. Step 5: Solve for x
    x = 1,026,433,444/15,101
  6. Step 6: Final answer
    x = 67,971.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.