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Finding the Third Proportional to 38,042 and 58,547

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Solution

The third proportional to 38,042 and 58,547 is: 90,104.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,042 : 58,547 = 58,547 : x
  2. Step 2: Convert to fraction form
    38,042/58,547 = 58,547/x
  3. Step 3: Cross multiply
    38,042x = 58,547 × 58,547
  4. Step 4: Simplify right side
    38,042x = 3,427,751,209
  5. Step 5: Solve for x
    x = 3,427,751,209/38,042
  6. Step 6: Final answer
    x = 90,104.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.