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Finding the Third Proportional to 32,535 and 69,363

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Solution

The third proportional to 32,535 and 69,363 is: 147,878.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,535 : 69,363 = 69,363 : x
  2. Step 2: Convert to fraction form
    32,535/69,363 = 69,363/x
  3. Step 3: Cross multiply
    32,535x = 69,363 × 69,363
  4. Step 4: Simplify right side
    32,535x = 4,811,225,769
  5. Step 5: Solve for x
    x = 4,811,225,769/32,535
  6. Step 6: Final answer
    x = 147,878.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.