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Finding the Third Proportional to 45,240 and 59,490

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Solution

The third proportional to 45,240 and 59,490 is: 78,228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,240 : 59,490 = 59,490 : x
  2. Step 2: Convert to fraction form
    45,240/59,490 = 59,490/x
  3. Step 3: Cross multiply
    45,240x = 59,490 × 59,490
  4. Step 4: Simplify right side
    45,240x = 3,539,060,100
  5. Step 5: Solve for x
    x = 3,539,060,100/45,240
  6. Step 6: Final answer
    x = 78,228.56

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.