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Finding the Third Proportional to 25,701 and 37,457

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Solution

The third proportional to 25,701 and 37,457 is: 54,590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,701 : 37,457 = 37,457 : x
  2. Step 2: Convert to fraction form
    25,701/37,457 = 37,457/x
  3. Step 3: Cross multiply
    25,701x = 37,457 × 37,457
  4. Step 4: Simplify right side
    25,701x = 1,403,026,849
  5. Step 5: Solve for x
    x = 1,403,026,849/25,701
  6. Step 6: Final answer
    x = 54,590.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.