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Finding the Third Proportional to 15,020 and 34,776

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Solution

The third proportional to 15,020 and 34,776 is: 80,517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,020 : 34,776 = 34,776 : x
  2. Step 2: Convert to fraction form
    15,020/34,776 = 34,776/x
  3. Step 3: Cross multiply
    15,020x = 34,776 × 34,776
  4. Step 4: Simplify right side
    15,020x = 1,209,370,176
  5. Step 5: Solve for x
    x = 1,209,370,176/15,020
  6. Step 6: Final answer
    x = 80,517.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.