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Finding the Third Proportional to 25,943 and 37,537

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Solution

The third proportional to 25,943 and 37,537 is: 54,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,943 : 37,537 = 37,537 : x
  2. Step 2: Convert to fraction form
    25,943/37,537 = 37,537/x
  3. Step 3: Cross multiply
    25,943x = 37,537 × 37,537
  4. Step 4: Simplify right side
    25,943x = 1,409,026,369
  5. Step 5: Solve for x
    x = 1,409,026,369/25,943
  6. Step 6: Final answer
    x = 54,312.39

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.