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Finding the Third Proportional to 23,303 and 31,471

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Solution

The third proportional to 23,303 and 31,471 is: 42,501.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,303 : 31,471 = 31,471 : x
  2. Step 2: Convert to fraction form
    23,303/31,471 = 31,471/x
  3. Step 3: Cross multiply
    23,303x = 31,471 × 31,471
  4. Step 4: Simplify right side
    23,303x = 990,423,841
  5. Step 5: Solve for x
    x = 990,423,841/23,303
  6. Step 6: Final answer
    x = 42,501.99

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.