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Finding the Third Proportional to 14,816 and 32,224

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Solution

The third proportional to 14,816 and 32,224 is: 70,085.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,816 : 32,224 = 32,224 : x
  2. Step 2: Convert to fraction form
    14,816/32,224 = 32,224/x
  3. Step 3: Cross multiply
    14,816x = 32,224 × 32,224
  4. Step 4: Simplify right side
    14,816x = 1,038,386,176
  5. Step 5: Solve for x
    x = 1,038,386,176/14,816
  6. Step 6: Final answer
    x = 70,085.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.