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Finding the Third Proportional to 23,210 and 40,465

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Solution

The third proportional to 23,210 and 40,465 is: 70,547.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,210 : 40,465 = 40,465 : x
  2. Step 2: Convert to fraction form
    23,210/40,465 = 40,465/x
  3. Step 3: Cross multiply
    23,210x = 40,465 × 40,465
  4. Step 4: Simplify right side
    23,210x = 1,637,416,225
  5. Step 5: Solve for x
    x = 1,637,416,225/23,210
  6. Step 6: Final answer
    x = 70,547.88

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.