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Finding the Third Proportional to 15,700 and 23,069

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Solution

The third proportional to 15,700 and 23,069 is: 33,896.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,700 : 23,069 = 23,069 : x
  2. Step 2: Convert to fraction form
    15,700/23,069 = 23,069/x
  3. Step 3: Cross multiply
    15,700x = 23,069 × 23,069
  4. Step 4: Simplify right side
    15,700x = 532,178,761
  5. Step 5: Solve for x
    x = 532,178,761/15,700
  6. Step 6: Final answer
    x = 33,896.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.