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Finding the Third Proportional to 32,506 and 49,160

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Solution

The third proportional to 32,506 and 49,160 is: 74,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,506 : 49,160 = 49,160 : x
  2. Step 2: Convert to fraction form
    32,506/49,160 = 49,160/x
  3. Step 3: Cross multiply
    32,506x = 49,160 × 49,160
  4. Step 4: Simplify right side
    32,506x = 2,416,705,600
  5. Step 5: Solve for x
    x = 2,416,705,600/32,506
  6. Step 6: Final answer
    x = 74,346.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.