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Finding the Third Proportional to 15,890 and 34,547

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Solution

The third proportional to 15,890 and 34,547 is: 75,109.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,890 : 34,547 = 34,547 : x
  2. Step 2: Convert to fraction form
    15,890/34,547 = 34,547/x
  3. Step 3: Cross multiply
    15,890x = 34,547 × 34,547
  4. Step 4: Simplify right side
    15,890x = 1,193,495,209
  5. Step 5: Solve for x
    x = 1,193,495,209/15,890
  6. Step 6: Final answer
    x = 75,109.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.