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Finding the Third Proportional to 25,534 and 36,777

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Solution

The third proportional to 25,534 and 36,777 is: 52,970.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,534 : 36,777 = 36,777 : x
  2. Step 2: Convert to fraction form
    25,534/36,777 = 36,777/x
  3. Step 3: Cross multiply
    25,534x = 36,777 × 36,777
  4. Step 4: Simplify right side
    25,534x = 1,352,547,729
  5. Step 5: Solve for x
    x = 1,352,547,729/25,534
  6. Step 6: Final answer
    x = 52,970.46

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.