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Finding the Third Proportional to 22,356 and 52,776

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Solution

The third proportional to 22,356 and 52,776 is: 124,588.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,356 : 52,776 = 52,776 : x
  2. Step 2: Convert to fraction form
    22,356/52,776 = 52,776/x
  3. Step 3: Cross multiply
    22,356x = 52,776 × 52,776
  4. Step 4: Simplify right side
    22,356x = 2,785,306,176
  5. Step 5: Solve for x
    x = 2,785,306,176/22,356
  6. Step 6: Final answer
    x = 124,588.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.