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Finding the Third Proportional to 14,704 and 22,776

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Solution

The third proportional to 14,704 and 22,776 is: 35,279.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,704 : 22,776 = 22,776 : x
  2. Step 2: Convert to fraction form
    14,704/22,776 = 22,776/x
  3. Step 3: Cross multiply
    14,704x = 22,776 × 22,776
  4. Step 4: Simplify right side
    14,704x = 518,746,176
  5. Step 5: Solve for x
    x = 518,746,176/14,704
  6. Step 6: Final answer
    x = 35,279.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.