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Finding the Third Proportional to 28,098 and 59,490

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Solution

The third proportional to 28,098 and 59,490 is: 125,954.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,098 : 59,490 = 59,490 : x
  2. Step 2: Convert to fraction form
    28,098/59,490 = 59,490/x
  3. Step 3: Cross multiply
    28,098x = 59,490 × 59,490
  4. Step 4: Simplify right side
    28,098x = 3,539,060,100
  5. Step 5: Solve for x
    x = 3,539,060,100/28,098
  6. Step 6: Final answer
    x = 125,954.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.