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Finding the Third Proportional to 25,316 and 39,307

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Solution

The third proportional to 25,316 and 39,307 is: 61,030.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,316 : 39,307 = 39,307 : x
  2. Step 2: Convert to fraction form
    25,316/39,307 = 39,307/x
  3. Step 3: Cross multiply
    25,316x = 39,307 × 39,307
  4. Step 4: Simplify right side
    25,316x = 1,545,040,249
  5. Step 5: Solve for x
    x = 1,545,040,249/25,316
  6. Step 6: Final answer
    x = 61,030.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.