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Finding the Third Proportional to 15,931.13 and 25,302.94

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Solution

The third proportional to 15,931.13 and 25,302.94 is: 40,187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,931.13 : 25,302.94 = 25,302.94 : x
  2. Step 2: Convert to fraction form
    15,931.13/25,302.94 = 25,302.94/x
  3. Step 3: Cross multiply
    15,931.13x = 25,302.94 × 25,302.94
  4. Step 4: Simplify right side
    15,931.13x = 640,238,646.13
  5. Step 5: Solve for x
    x = 640,238,646.13/15,931.13
  6. Step 6: Final answer
    x = 40,187.91

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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.