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Finding the Third Proportional to 45,398.50 and 70,459

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Solution

The third proportional to 45,398.50 and 70,459 is: 109,353.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,398.50 : 70,459 = 70,459 : x
  2. Step 2: Convert to fraction form
    45,398.50/70,459 = 70,459/x
  3. Step 3: Cross multiply
    45,398.50x = 70,459 × 70,459
  4. Step 4: Simplify right side
    45,398.50x = 4,964,470,681
  5. Step 5: Solve for x
    x = 4,964,470,681/45,398.50
  6. Step 6: Final answer
    x = 109,353.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.