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Finding the Third Proportional to 25,114 and 36,709

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Solution

The third proportional to 25,114 and 36,709 is: 53,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,114 : 36,709 = 36,709 : x
  2. Step 2: Convert to fraction form
    25,114/36,709 = 36,709/x
  3. Step 3: Cross multiply
    25,114x = 36,709 × 36,709
  4. Step 4: Simplify right side
    25,114x = 1,347,550,681
  5. Step 5: Solve for x
    x = 1,347,550,681/25,114
  6. Step 6: Final answer
    x = 53,657.35

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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.