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Finding the Third Proportional to 46,720.50 and 73,428

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Solution

The third proportional to 46,720.50 and 73,428 is: 115,402.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,720.50 : 73,428 = 73,428 : x
  2. Step 2: Convert to fraction form
    46,720.50/73,428 = 73,428/x
  3. Step 3: Cross multiply
    46,720.50x = 73,428 × 73,428
  4. Step 4: Simplify right side
    46,720.50x = 5,391,671,184
  5. Step 5: Solve for x
    x = 5,391,671,184/46,720.50
  6. Step 6: Final answer
    x = 115,402.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.