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Finding the Third Proportional to 11,473 and 25,403

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Solution

The third proportional to 11,473 and 25,403 is: 56,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,473 : 25,403 = 25,403 : x
  2. Step 2: Convert to fraction form
    11,473/25,403 = 25,403/x
  3. Step 3: Cross multiply
    11,473x = 25,403 × 25,403
  4. Step 4: Simplify right side
    11,473x = 645,312,409
  5. Step 5: Solve for x
    x = 645,312,409/11,473
  6. Step 6: Final answer
    x = 56,246.18

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.