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Finding the Third Proportional to 25,236 and 53,709

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Solution

The third proportional to 25,236 and 53,709 is: 114,307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,236 : 53,709 = 53,709 : x
  2. Step 2: Convert to fraction form
    25,236/53,709 = 53,709/x
  3. Step 3: Cross multiply
    25,236x = 53,709 × 53,709
  4. Step 4: Simplify right side
    25,236x = 2,884,656,681
  5. Step 5: Solve for x
    x = 2,884,656,681/25,236
  6. Step 6: Final answer
    x = 114,307.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.