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Finding the Third Proportional to 25,700 and 37,574

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Solution

The third proportional to 25,700 and 37,574 is: 54,934.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,700 : 37,574 = 37,574 : x
  2. Step 2: Convert to fraction form
    25,700/37,574 = 37,574/x
  3. Step 3: Cross multiply
    25,700x = 37,574 × 37,574
  4. Step 4: Simplify right side
    25,700x = 1,411,805,476
  5. Step 5: Solve for x
    x = 1,411,805,476/25,700
  6. Step 6: Final answer
    x = 54,934.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.