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Finding the Third Proportional to 46,454 and 70,773

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Solution

The third proportional to 46,454 and 70,773 is: 107,823.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,454 : 70,773 = 70,773 : x
  2. Step 2: Convert to fraction form
    46,454/70,773 = 70,773/x
  3. Step 3: Cross multiply
    46,454x = 70,773 × 70,773
  4. Step 4: Simplify right side
    46,454x = 5,008,817,529
  5. Step 5: Solve for x
    x = 5,008,817,529/46,454
  6. Step 6: Final answer
    x = 107,823.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.