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Finding the Third Proportional to 35,548 and 47,702

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Solution

The third proportional to 35,548 and 47,702 is: 64,011.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,548 : 47,702 = 47,702 : x
  2. Step 2: Convert to fraction form
    35,548/47,702 = 47,702/x
  3. Step 3: Cross multiply
    35,548x = 47,702 × 47,702
  4. Step 4: Simplify right side
    35,548x = 2,275,480,804
  5. Step 5: Solve for x
    x = 2,275,480,804/35,548
  6. Step 6: Final answer
    x = 64,011.50

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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.