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Finding the Third Proportional to 18,461 and 39,547

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Solution

The third proportional to 18,461 and 39,547 is: 84,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,461 : 39,547 = 39,547 : x
  2. Step 2: Convert to fraction form
    18,461/39,547 = 39,547/x
  3. Step 3: Cross multiply
    18,461x = 39,547 × 39,547
  4. Step 4: Simplify right side
    18,461x = 1,563,965,209
  5. Step 5: Solve for x
    x = 1,563,965,209/18,461
  6. Step 6: Final answer
    x = 84,717.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.