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Finding the Third Proportional to 27,564 and 40,434

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Solution

The third proportional to 27,564 and 40,434 is: 59,313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,564 : 40,434 = 40,434 : x
  2. Step 2: Convert to fraction form
    27,564/40,434 = 40,434/x
  3. Step 3: Cross multiply
    27,564x = 40,434 × 40,434
  4. Step 4: Simplify right side
    27,564x = 1,634,908,356
  5. Step 5: Solve for x
    x = 1,634,908,356/27,564
  6. Step 6: Final answer
    x = 59,313.18

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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.