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Finding the Third Proportional to 23,071 and 36,143

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Solution

The third proportional to 23,071 and 36,143 is: 56,621.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,071 : 36,143 = 36,143 : x
  2. Step 2: Convert to fraction form
    23,071/36,143 = 36,143/x
  3. Step 3: Cross multiply
    23,071x = 36,143 × 36,143
  4. Step 4: Simplify right side
    23,071x = 1,306,316,449
  5. Step 5: Solve for x
    x = 1,306,316,449/23,071
  6. Step 6: Final answer
    x = 56,621.58

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.