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Finding the Third Proportional to 25,740 and 34,428

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Solution

The third proportional to 25,740 and 34,428 is: 46,048.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,740 : 34,428 = 34,428 : x
  2. Step 2: Convert to fraction form
    25,740/34,428 = 34,428/x
  3. Step 3: Cross multiply
    25,740x = 34,428 × 34,428
  4. Step 4: Simplify right side
    25,740x = 1,185,287,184
  5. Step 5: Solve for x
    x = 1,185,287,184/25,740
  6. Step 6: Final answer
    x = 46,048.45

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.