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Finding the Third Proportional to 46,352 and 69,540

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Solution

The third proportional to 46,352 and 69,540 is: 104,328.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,352 : 69,540 = 69,540 : x
  2. Step 2: Convert to fraction form
    46,352/69,540 = 69,540/x
  3. Step 3: Cross multiply
    46,352x = 69,540 × 69,540
  4. Step 4: Simplify right side
    46,352x = 4,835,811,600
  5. Step 5: Solve for x
    x = 4,835,811,600/46,352
  6. Step 6: Final answer
    x = 104,328.00

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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.