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Finding the Third Proportional to 28,930 and 63,409

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Solution

The third proportional to 28,930 and 63,409 is: 138,980.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,930 : 63,409 = 63,409 : x
  2. Step 2: Convert to fraction form
    28,930/63,409 = 63,409/x
  3. Step 3: Cross multiply
    28,930x = 63,409 × 63,409
  4. Step 4: Simplify right side
    28,930x = 4,020,701,281
  5. Step 5: Solve for x
    x = 4,020,701,281/28,930
  6. Step 6: Final answer
    x = 138,980.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.