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Finding the Third Proportional to 15,382 and 23,514

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Solution

The third proportional to 15,382 and 23,514 is: 35,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,382 : 23,514 = 23,514 : x
  2. Step 2: Convert to fraction form
    15,382/23,514 = 23,514/x
  3. Step 3: Cross multiply
    15,382x = 23,514 × 23,514
  4. Step 4: Simplify right side
    15,382x = 552,908,196
  5. Step 5: Solve for x
    x = 552,908,196/15,382
  6. Step 6: Final answer
    x = 35,945.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.