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Finding the Third Proportional to 32,580 and 70,506

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Solution

The third proportional to 32,580 and 70,506 is: 152,581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,580 : 70,506 = 70,506 : x
  2. Step 2: Convert to fraction form
    32,580/70,506 = 70,506/x
  3. Step 3: Cross multiply
    32,580x = 70,506 × 70,506
  4. Step 4: Simplify right side
    32,580x = 4,971,096,036
  5. Step 5: Solve for x
    x = 4,971,096,036/32,580
  6. Step 6: Final answer
    x = 152,581.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.