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Finding the Third Proportional to 28,527 and 63,613

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Solution

The third proportional to 28,527 and 63,613 is: 141,852.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,527 : 63,613 = 63,613 : x
  2. Step 2: Convert to fraction form
    28,527/63,613 = 63,613/x
  3. Step 3: Cross multiply
    28,527x = 63,613 × 63,613
  4. Step 4: Simplify right side
    28,527x = 4,046,613,769
  5. Step 5: Solve for x
    x = 4,046,613,769/28,527
  6. Step 6: Final answer
    x = 141,852.06

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.