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Finding the Third Proportional to 48,240 and 70,576

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Solution

The third proportional to 48,240 and 70,576 is: 103,253.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,240 : 70,576 = 70,576 : x
  2. Step 2: Convert to fraction form
    48,240/70,576 = 70,576/x
  3. Step 3: Cross multiply
    48,240x = 70,576 × 70,576
  4. Step 4: Simplify right side
    48,240x = 4,980,971,776
  5. Step 5: Solve for x
    x = 4,980,971,776/48,240
  6. Step 6: Final answer
    x = 103,253.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.