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Finding the Third Proportional to 39,410 and 61,053

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Solution

The third proportional to 39,410 and 61,053 is: 94,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,410 : 61,053 = 61,053 : x
  2. Step 2: Convert to fraction form
    39,410/61,053 = 61,053/x
  3. Step 3: Cross multiply
    39,410x = 61,053 × 61,053
  4. Step 4: Simplify right side
    39,410x = 3,727,468,809
  5. Step 5: Solve for x
    x = 3,727,468,809/39,410
  6. Step 6: Final answer
    x = 94,581.80

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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.