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Finding the Third Proportional to 7,502.63 and 9,875.67

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Solution

The third proportional to 7,502.63 and 9,875.67 is: 12,999.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.63 : 9,875.67 = 9,875.67 : x
  2. Step 2: Convert to fraction form
    7,502.63/9,875.67 = 9,875.67/x
  3. Step 3: Cross multiply
    7,502.63x = 9,875.67 × 9,875.67
  4. Step 4: Simplify right side
    7,502.63x = 97,528,894.98
  5. Step 5: Solve for x
    x = 97,528,894.98/7,502.63
  6. Step 6: Final answer
    x = 12,999.30

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.