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Finding the Third Proportional to 25,423.88 and 39,684.94

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Solution

The third proportional to 25,423.88 and 39,684.94 is: 61,945.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,423.88 : 39,684.94 = 39,684.94 : x
  2. Step 2: Convert to fraction form
    25,423.88/39,684.94 = 39,684.94/x
  3. Step 3: Cross multiply
    25,423.88x = 39,684.94 × 39,684.94
  4. Step 4: Simplify right side
    25,423.88x = 1,574,894,264.38
  5. Step 5: Solve for x
    x = 1,574,894,264.38/25,423.88
  6. Step 6: Final answer
    x = 61,945.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.