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Finding the Third Proportional to 25,445 and 40,514

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Solution

The third proportional to 25,445 and 40,514 is: 64,507.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,445 : 40,514 = 40,514 : x
  2. Step 2: Convert to fraction form
    25,445/40,514 = 40,514/x
  3. Step 3: Cross multiply
    25,445x = 40,514 × 40,514
  4. Step 4: Simplify right side
    25,445x = 1,641,384,196
  5. Step 5: Solve for x
    x = 1,641,384,196/25,445
  6. Step 6: Final answer
    x = 64,507.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.