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Finding the Third Proportional to 39,946 and 61,476

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Solution

The third proportional to 39,946 and 61,476 is: 94,610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,946 : 61,476 = 61,476 : x
  2. Step 2: Convert to fraction form
    39,946/61,476 = 61,476/x
  3. Step 3: Cross multiply
    39,946x = 61,476 × 61,476
  4. Step 4: Simplify right side
    39,946x = 3,779,298,576
  5. Step 5: Solve for x
    x = 3,779,298,576/39,946
  6. Step 6: Final answer
    x = 94,610.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.