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Finding the Third Proportional to 46,347.75 and 69,363

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Solution

The third proportional to 46,347.75 and 69,363 is: 103,807.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,347.75 : 69,363 = 69,363 : x
  2. Step 2: Convert to fraction form
    46,347.75/69,363 = 69,363/x
  3. Step 3: Cross multiply
    46,347.75x = 69,363 × 69,363
  4. Step 4: Simplify right side
    46,347.75x = 4,811,225,769
  5. Step 5: Solve for x
    x = 4,811,225,769/46,347.75
  6. Step 6: Final answer
    x = 103,807.11

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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.