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Finding the Third Proportional to 25,484 and 37,476

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Solution

The third proportional to 25,484 and 37,476 is: 55,111.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,484 : 37,476 = 37,476 : x
  2. Step 2: Convert to fraction form
    25,484/37,476 = 37,476/x
  3. Step 3: Cross multiply
    25,484x = 37,476 × 37,476
  4. Step 4: Simplify right side
    25,484x = 1,404,450,576
  5. Step 5: Solve for x
    x = 1,404,450,576/25,484
  6. Step 6: Final answer
    x = 55,111.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.