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Finding the Third Proportional to 38,506 and 84,572

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Solution

The third proportional to 38,506 and 84,572 is: 185,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,506 : 84,572 = 84,572 : x
  2. Step 2: Convert to fraction form
    38,506/84,572 = 84,572/x
  3. Step 3: Cross multiply
    38,506x = 84,572 × 84,572
  4. Step 4: Simplify right side
    38,506x = 7,152,423,184
  5. Step 5: Solve for x
    x = 7,152,423,184/38,506
  6. Step 6: Final answer
    x = 185,748.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.