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Finding the Third Proportional to 46,388 and 70,012

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Solution

The third proportional to 46,388 and 70,012 is: 105,666.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,388 : 70,012 = 70,012 : x
  2. Step 2: Convert to fraction form
    46,388/70,012 = 70,012/x
  3. Step 3: Cross multiply
    46,388x = 70,012 × 70,012
  4. Step 4: Simplify right side
    46,388x = 4,901,680,144
  5. Step 5: Solve for x
    x = 4,901,680,144/46,388
  6. Step 6: Final answer
    x = 105,666.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.