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Finding the Third Proportional to 25,046 and 58,537

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Solution

The third proportional to 25,046 and 58,537 is: 136,811.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,046 : 58,537 = 58,537 : x
  2. Step 2: Convert to fraction form
    25,046/58,537 = 58,537/x
  3. Step 3: Cross multiply
    25,046x = 58,537 × 58,537
  4. Step 4: Simplify right side
    25,046x = 3,426,580,369
  5. Step 5: Solve for x
    x = 3,426,580,369/25,046
  6. Step 6: Final answer
    x = 136,811.48

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.