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Finding the Third Proportional to 36,610 and 47,426

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Solution

The third proportional to 36,610 and 47,426 is: 61,437.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,610 : 47,426 = 47,426 : x
  2. Step 2: Convert to fraction form
    36,610/47,426 = 47,426/x
  3. Step 3: Cross multiply
    36,610x = 47,426 × 47,426
  4. Step 4: Simplify right side
    36,610x = 2,249,225,476
  5. Step 5: Solve for x
    x = 2,249,225,476/36,610
  6. Step 6: Final answer
    x = 61,437.46

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.