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Finding the Third Proportional to 30,428 and 46,006

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Solution

The third proportional to 30,428 and 46,006 is: 69,559.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,428 : 46,006 = 46,006 : x
  2. Step 2: Convert to fraction form
    30,428/46,006 = 46,006/x
  3. Step 3: Cross multiply
    30,428x = 46,006 × 46,006
  4. Step 4: Simplify right side
    30,428x = 2,116,552,036
  5. Step 5: Solve for x
    x = 2,116,552,036/30,428
  6. Step 6: Final answer
    x = 69,559.35

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Why These Related Problems?

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