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Finding the Third Proportional to 9,210 and 14,407.50

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Solution

The third proportional to 9,210 and 14,407.50 is: 22,538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210 : 14,407.50 = 14,407.50 : x
  2. Step 2: Convert to fraction form
    9,210/14,407.50 = 14,407.50/x
  3. Step 3: Cross multiply
    9,210x = 14,407.50 × 14,407.50
  4. Step 4: Simplify right side
    9,210x = 207,576,056.25
  5. Step 5: Solve for x
    x = 207,576,056.25/9,210
  6. Step 6: Final answer
    x = 22,538.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.