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Finding the Third Proportional to 39,454 and 61,209

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Solution

The third proportional to 39,454 and 61,209 is: 94,959.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,454 : 61,209 = 61,209 : x
  2. Step 2: Convert to fraction form
    39,454/61,209 = 61,209/x
  3. Step 3: Cross multiply
    39,454x = 61,209 × 61,209
  4. Step 4: Simplify right side
    39,454x = 3,746,541,681
  5. Step 5: Solve for x
    x = 3,746,541,681/39,454
  6. Step 6: Final answer
    x = 94,959.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.