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Finding the Third Proportional to 30,018.50 and 69,487

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Solution

The third proportional to 30,018.50 and 69,487 is: 160,848.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,018.50 : 69,487 = 69,487 : x
  2. Step 2: Convert to fraction form
    30,018.50/69,487 = 69,487/x
  3. Step 3: Cross multiply
    30,018.50x = 69,487 × 69,487
  4. Step 4: Simplify right side
    30,018.50x = 4,828,443,169
  5. Step 5: Solve for x
    x = 4,828,443,169/30,018.50
  6. Step 6: Final answer
    x = 160,848.92

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.