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Finding the Third Proportional to 9,437 and 22,038.50

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Solution

The third proportional to 9,437 and 22,038.50 is: 51,467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437 : 22,038.50 = 22,038.50 : x
  2. Step 2: Convert to fraction form
    9,437/22,038.50 = 22,038.50/x
  3. Step 3: Cross multiply
    9,437x = 22,038.50 × 22,038.50
  4. Step 4: Simplify right side
    9,437x = 485,695,482.25
  5. Step 5: Solve for x
    x = 485,695,482.25/9,437
  6. Step 6: Final answer
    x = 51,467.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.