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Finding the Third Proportional to 30,681 and 46,023

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Solution

The third proportional to 30,681 and 46,023 is: 69,036.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,681 : 46,023 = 46,023 : x
  2. Step 2: Convert to fraction form
    30,681/46,023 = 46,023/x
  3. Step 3: Cross multiply
    30,681x = 46,023 × 46,023
  4. Step 4: Simplify right side
    30,681x = 2,118,116,529
  5. Step 5: Solve for x
    x = 2,118,116,529/30,681
  6. Step 6: Final answer
    x = 69,036.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.