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Finding the Third Proportional to 25,020 and 39,284

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Solution

The third proportional to 25,020 and 39,284 is: 61,679.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,020 : 39,284 = 39,284 : x
  2. Step 2: Convert to fraction form
    25,020/39,284 = 39,284/x
  3. Step 3: Cross multiply
    25,020x = 39,284 × 39,284
  4. Step 4: Simplify right side
    25,020x = 1,543,232,656
  5. Step 5: Solve for x
    x = 1,543,232,656/25,020
  6. Step 6: Final answer
    x = 61,679.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.