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Finding the Third Proportional to 32,098 and 70,028

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Solution

The third proportional to 32,098 and 70,028 is: 152,779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098 : 70,028 = 70,028 : x
  2. Step 2: Convert to fraction form
    32,098/70,028 = 70,028/x
  3. Step 3: Cross multiply
    32,098x = 70,028 × 70,028
  4. Step 4: Simplify right side
    32,098x = 4,903,920,784
  5. Step 5: Solve for x
    x = 4,903,920,784/32,098
  6. Step 6: Final answer
    x = 152,779.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.