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Finding the Third Proportional to 29,937.94 and 46,030.78

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Solution

The third proportional to 29,937.94 and 46,030.78 is: 70,774.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,937.94 : 46,030.78 = 46,030.78 : x
  2. Step 2: Convert to fraction form
    29,937.94/46,030.78 = 46,030.78/x
  3. Step 3: Cross multiply
    29,937.94x = 46,030.78 × 46,030.78
  4. Step 4: Simplify right side
    29,937.94x = 2,118,832,822.49
  5. Step 5: Solve for x
    x = 2,118,832,822.49/29,937.94
  6. Step 6: Final answer
    x = 70,774.17

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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.