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Finding the Third Proportional to 46,232 and 71,428

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Solution

The third proportional to 46,232 and 71,428 is: 110,355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,232 : 71,428 = 71,428 : x
  2. Step 2: Convert to fraction form
    46,232/71,428 = 71,428/x
  3. Step 3: Cross multiply
    46,232x = 71,428 × 71,428
  4. Step 4: Simplify right side
    46,232x = 5,101,959,184
  5. Step 5: Solve for x
    x = 5,101,959,184/46,232
  6. Step 6: Final answer
    x = 110,355.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.